simplify to a single power of 4

(I've slipped in one or two that can't be simplified, just to keep you on your toes.) The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. I did some algebra and it worked very well with simplifying the equation. There are two ways that fractions get involved in exponents. Since these logs have the same base, the subtraction outside can be turned into division inside: Then my answer is: Content Continues Below . I suck at math btw, all made easier to understand with this app, math app is so useful, this is app is absolutely amazing! Let () be a function differentiable at = . Amazing app for checking your math home work, if you are stuck. This is equivalent to the square root of 4 , cubed as the powers are interchangeable, \sqrt{4^{3}}=(\sqrt{4})^{3} . So the correct formula is d/dx 1/x^a = -a/x^(a+1). For instructional purposes the solution is expanded when the base x and exponent n . So x^(-2/3) is 1/[3rd root(x^2)], Creative Commons Attribution/Non-Commercial/Share-Alike. point (0,0) Any number of, Q:Simplify arctan 4+ arctan 7. There is Simplify to a single power of 4 calculator that can make the technique much easier. Homework is a necessary part of school that helps students review and practice what they have learned in class. 00 This app is really usfull when your stuck on something that has to do with math. if I'm thinking that maybe "the power rule might be useful?" To do that, we first need to rewrite those functions as x, where n would be negative or a fraction. 10. Khan Academy . Simplify to a single power of 4 calculator There are a lot of Simplify to a single power of 4 calculator that are available online. FREE 100 POINTS!! Direct link to northernexposurelanai's post Could Sal please simplify, Posted 2 years ago. View the full answer. Solution for Simplify to a single power of 4: 44 43. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other. Round to the nearest tenth. So, it follows immediately that. How many, A:Diameter = 4790.7 cm Practice your math skills and learn step by step with our math solver. cos2 + sin2 = 1. So dividing through by 16 yields. A V80 We Answer! over eight to the 1/3 power. Reciprocal Identity Step 3: The monomial term will be displayed in a new window. Simplify the expression. This question is a bit different, because the larger exponent is on the term in the denominator. And we saw above that the answer is 5 8. I recommend it to all my friends, this app also has animated directions on how to solve . When we have to simplify exponents with different bases and different power, we simplify the terms separately and then apply the arithmetic . Typing Exponents. 4 reasoning, you'll find yourself not needing to write things out and cancel off the duplicate factors. It can actually give u free steps for u to see the work how it's done, and if u get premium it will help u a lot. Decide math tasks. This leads to another rule for exponents-the Power Rule for Exponents. A And actually, let's just not figure out 646+ Math Teachers 8 Years of experience 36005 Student Reviews Get Homework Help Simplify and Write as Single Power Laws of Exponents. So let's say we take the derivative with respect to x of one over x. This calculator will solve your problems. 8.3.1 Simplify Expressions with a 1 n. Rational exponents are another way of writing expressions with radicals. Simplify as a single power8^4 \cdot 8^5, Simplify as a single power\frac{7^8}{7^2}, Write as a single power((-8)^3)^7, Simplify\frac{2x^5 \cdot x^-2}{x^0} . If you need your order fast, we can deliver it to you in record time. Have you seen f'(x)? 3) /5a + 2/ How many extra of each do I have, and where are they? How to use the power rule for exponents to simplify powers of powers . Question: Simplify the expression to a form in which 2 is raised to a single integer power. For example, rather than writing 4 x 4 x 4 it can be simplified to 4. And so, this is going to be equal to negative x to the negative two, and we're done. A:Given : Direct link to Ash_001's post In a fraction power, the . Once you know what you want to accomplish, you can select the appropriate math tasks to help you reach your goals. Best of all, Simplify to a single power of 4 is free to use, so there's no sense not to give it a try! Hey, so I was just toying around(at 3 A.M. like all of us do) and I found an interesting pattern, somewhat of a general formula for a tangent to a curve. Simplify the determinants of the following matrices by creating zeros in a single row or column, then evaluate the determinant by expanding in terms of that row or column. 47 So the answer in this case is: I can cancel off the common factor of 5 in the numerical part of the fraction: Now I need to look at each of the variables. Units 1-5. answer when possible. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright . I mustn't forget that the "5" and the "3" are just numbers. We provide quick and easy solutions to all your homework problems. If you're seeing this message, it means we're having trouble loading external resources on our website. Simplifies expressions step-by-step and shows the work! This video explains how to simplify exponential expressions using the power rule of exponents. = 1099 x 10-70 x (10-1)40 because it's basically another way of writing that. Yes, you're right. Take the course Want to learn more about Pre-Algebra? Simplify (a 6 b 9) (That's the cube root or third root of a 6 b 9.) How to Use a Monomial Calculator? 27 V5 4 2 4 3 = 4 (2+3) = 4 5 =44444 =1024 In this calculator, you can easily calculate 4 5 after manual simplification. 2 you don't need fricken tickets. Write your answer as an integer or as a Example 4: Simplify the radical expression \sqrt . Write as a single power of 7: . product of the exponents. Would I need to use the difference quotient and find the limit as h approaches 0 instead? Possibly one of the most useful apps out there. Live. This is read as 'four to the power of . In a fraction power, the numerator is the "square" and the denominator is the "root" so if you have x^2/3, it's the same as the "3rd root (x^2)" and x^1/3 is just "3rd root (x^1) or 3rd root (x)." A negative power just makes the root a fraction. The simplify calculator will then show you the steps to help you learn how to simplify your algebraic expression on your own. What type of number is the power? Math. : 11 needs to be written as 1, and the exponent needs to change from -2 to - 1 (increasing due to a shift to the left). Exponents. The procedure to use a monomial calculator is as follows: Step 1: Enter any expression in the input field. The " a6 " means "six copies of a multiplied together", and the " a5 " means "five copies of a multiplied together". x = . When we use rational exponents, we can apply the properties of exponents to simplify expressions. And if that wasn't enough, it explains the steps if you also want that! 125a +3/80a, Q:Divide and simplify:5+i 3i. 68 Some students will try to get around this minus-sign problem by arbitrarily switching the sign to magically get " 56 " on top (rather than below a "1"), but this is incorrect. is a shorthand way of writing repeated multiplication using the same number. It is used to solve problems in a variety of fields, including science, engineering, and finance. amn=amn, Q:Find AB. And so, the derivative, you take the 1/3, bring it out front, so it's 1/3 x to the 1/3 minus one power. You can specify conditions of storing and accessing cookies in your browser, if you have anymore questions , feel free to inform me, Simplify to a single power of 4: \frac{4^{8} }{4^{5} }, Find an equation of the line with gradient -3 and that passes through the With fractional exponents you are solving for the d th root of the number x raised to the power n. For example, the following are the same: 4 3 2 = 4 3 2. and since 4 cubed equals 64 we get. Get the Most useful Homework solution . How about when a coefficient is in the function? This video explains how to simplify exponential expressions using the power rule of exponents. In words: 8 2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared". 97 Write your answer as a power. Direct link to pavle.predic's post Maybe I wasn't following , Posted 3 years ago. derivative at x equals eight. Here, we will show you how to work with Simplify to a single power of 4 calculator. 8. going to be equal to, I'll do it right over here, \large \dfrac {a^n} {a^m} = a^ { n - m }. Simplify to a single power of 4. simplify, solve for, expand, factor, rationalize. And hopefully through these examples, you're seeing that the power V48 For example, x^-2 is just 1/x^2 and x^-3 is just 1/x^3. Ob 2 . Let's do another example. Q: The length, L, of the point on any standard 82 . Rule of Exponents: Quotient. Oe 3, A:Given that1370+1770 is divided by 229. We have three basic rules for combining exponents: However, when simplifying expressions containing exponents, don't feel like you must work only with, or straight from, these rules. Check out all of our online calculators here! Scroll for details. If is a a positive real number and m,n m,n are any real numbers, then we have. AB = 51 and AC = 120 Simplify your answer and write it as a proper fraction, improper, Q:Simplify. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. Choose "Simplify" from the topic selector and click to see the result in our Algebra Calculator! ( 2 i sin ) 4 = ( z z 1) 4 = z 4 + 1 z 4 4 ( z 2 + 1 z 2) + 6 = 2 cos 4 8 cos 2 + 6. If the numerator and denominator of the resulting fraction are both divisible by the same number, simplify the fraction by dividing both by that number. When simplifying you do not need the multiplication sign between parts of a term ; You do not need a multiplication sign between the coefficient and the algebraic letter. As long as the powers are even numbers such 2, 4, 6, 8, etc, they are considered to be perfect squares. I think it might depend on which playlist you are watching this on (I think playlist is the right word for it.) I have two extra a's on top. 100. The answers will start feeling fairly obvious to you. You can also calculate numbers to the power of. The question asked for the answer to be as a single power so the final answer is: \[5^6\] Example 2: single number base. Once you understand the problem, you can use a variety of methods to solve it. Simplifies expressions step-by-step and shows the work! Previous question Next question. %3D, Q:raise 10 to the 8th power, then subtract v from the result, A:Given sequence of operations The power of a product is equal to the product of it's factors raised to the same power. algebra numbers. C . In 82 the "2" says to use 8 twice in a multiplication, so 82 = 8 8 = 64. Math can be tough, but with a little practice, anyone can master it! The width of a proton is 1105 of the width of an atom. simplify rational or radical expressions with our free step-by-step math calculator. How many extra 6's do I have, and where are they? decimal rounded to the nearest tenth., A:A triangle is a polygon with three sides. . Can the power rule be used to find the derivative when there is a sum under the radical? For example, . If you're not sure, though, feel free to add "= 216", just to be on the safe side. 12, Q:Convert the decimal 0.125 to a fraction and reduce it to the lowest term, Q:Convert the decimal 0.12 to a fraction and reduce it to the lowest term, Q:2. EC=107.00 Q:of the arthmetic seque And now, this is just what the derivative is, let's figure out the Direct link to Michelle Acuna's post Can the power rule be use, Posted 4 years ago. from a basic application of De Moivre's theorem. *Response times may vary by subject and question complexity. root as x to the 1/3 power. 1/2 1/5 (A) a.) The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. This is an online calculator for exponents. I have six extra copies, and they're underneath: Note: If you apply the subtraction rule, you'll end up with 539 = 56, which is mathematically correct, but is almost certainly not the answer they're looking for. = 1099 x 10-70x (0.1)40 For example, x^-2 is just 1/x^2 and x^-3 is just 1/x^3. This calculator will solve your problems. A If you're struggling to clear up math problems, try these tips. ( an) m = anm. Use the power rule together with the chain rule. Write each of these as a single positive power. 100% (3 ratings) please li . Let's simplify (52)4. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. However, when simplifying expressions containing exponents, don't feel like you must work only with, or straight from, these rules. Mathematic questions can be difficult to answer, but with careful thought and effort, it is possible to find the right solution. To simplify an expression with fractions find a common denominator and then combine the numerators. going to do in this video is get some practice taking arccos Exactly n of those cancel, leaving a single 2 on top, and nothing but 1 on the bottom. Pause the video and see if 410 Simplify (a 1 2 b) 1 2 (a b 1 2) Simplify (m 1 4 n 1 2) 2 (m 2 n 3) 1 2 Simplify x. x 2 Simplify 2 n (n 2 + 3 n + 4) Simplify (x-2 x-3) 4 So far , super impressed by the functionality of even the free version. Track Improvement: The process of making a track more suitable for running, usually by flattening or grading the surface. I love spending time with my family and friends. the n with respect to x, so if we're taking the derivative of that, that that's going to be equal to, we take the exponent, bring it out front, and we've proven it in other videos, but this is gonna be n times x to the, and then we decrement the exponent. Well, what we're gonna do is first just figure out what this is and then we're going evaluate Quick-Start Guide. Direct link to yG.KeKe0's post Why wasn't -x^-2 rewritte, Posted 4 years ago. Transcribed Image Text: 4. :) Learn More An example with the power rule. simplified values of x and 492x+1=722x+1 The only functions that are power functions are a variable brought to some number power. For the variables, I have two extra copies of x on top, so the answer is: Either of the purple highlighted answers should be acceptable: the only difference is in the formatting; they mean the same thing. Popular Problems. Q:Simplify this radical to simplest form. Here is an example: 2x^2+x(4x+3) Simplifying Expressions Video Lesson. Doing things on paper is an ago old method, getting solved on calculator is decades old method, solving on mobiles/computers is years old method as it also involes human to type down on device. We will focus on applying the product rule, quotient rule as well as power rule. This is incorrect. simplify rational or radical expressions with our free step-by-step math calculator. order now. Work on the task that is interesting to you. pperation. You take the exponent (4) down, multiply the 4 into the original expression, and decrement the exponent by 1 (after differentiation the exponent is 3). It helps me with solving my math prob haha nice, super helpful, gives u plenty of options to choose from, thanks all. How do you know when something is not a power function? 100. If you didn't know it and you had to show your work, it would be difficult, but luckily I am virtual. simplify rational or radical expressions with our free step-by-step math calculator. 36.00 Math is a way of determining the relationships between numbers, shapes, and other mathematical objects. 2. Some more examples: Shown below is an example of an argument for a 0 =1 using one of the previously mentioned exponent laws. However, with a little practice, it can be easy to learn and even enjoyable. I'm in the 8th Grade and since math is so damn confusing to me, I found this app, it's also really good because it not only just gives you the answers but also the step it took to get there. And it checks when solved in the calculator. 5 Math Tricks That Will Blow Your. If you're struggling to clear up a math problem, try breaking it down into smaller, more manageable pieces. We. The first is when the exponent itself is a fraction. 2/5. Simplify and Write as Single Power Laws of Exponents Similarly, 2 * (x + 5) can also be entered as 2(x + 5) 2x * (5) can be entered as 2x(5). Our expert tutors are available 24/7 to give you the answer you need in real-time. Note: You can calculate the values by using the quadratic formula and using methods of Math class from Java API. Learn how to apply the rules of exponents to simplify an expression. Report your answer as a simplified fraction. algebra math video tutorial focuses on simplifying exponents with rules such as the product rule, power rule, and quotient rule. Well, once again, you might say, "Hey, how do I take the The correct fraction is: "-ax^(-a-1) = -a/x^(a+1)". Simplifies expressions step-by-step and shows the work! 2 b2-3 ab2+2 a. It is often simpler to work directly from the meaning of exponents. 69 30 Use the power rule for exponents to simplify the expression. To determine which math tasks to complete, start by identifying the goals you want to achieve. The nth powers of 2,a,3^2, and b^3 are, respectively, 2 2^n,a^n,3^(2n), and b^(3n). Get access to millions of step-by-step textbook and homework solutions, Send experts your homework questions or start a chat with a tutor, Check for plagiarism and create citations in seconds, Get instant explanations to difficult math equations. if it is anything else it is not a pwer function. A right triangle is a triangle with one of its angles, Q:Find ST. X19/20 b.) The new Intune Suite can simplify our customers' endpoint management experience, improve their security posture, and keep people at the center with exceptional user experiences. Algebra-equation.com brings essential advice on simplify fraction exponents calculator, multiplication and adding and other math subject areas. kaydenkayden kaydenkayden 02/10/2022 Mathematics High School answered expert verified . Example 5: Simplify the . Exponents are supported on variables using the ^ (caret) symbol. a) 2434 b) 3676 c) (52 )3(43 )3 d) a3b3 e) 21 (41 )4 f) (xaya) g) (30 Reach support from expert teachers; Decide mathematic equations; Explain math equations; Solve Now! Give answer as Algebra. Let us simplify the following exponents: i) 2 4 3 4, ii) 4 3 2 3. i) 2 4 3 4 = (23) 4 = 6 4. ii) 4 3 2 3 = (42) 3 = 2 3 = 8. We guarantee that our work is 100% original. while the single prime will stay inside. For example: logb(6x y) = logb(6x)logby = logb6+logbxlogby l o g b ( 6 x y) = l o g b ( 6 x) l o g b y = l o g b 6 + l o g b x l o . What is the following number in standard form? Start your trial now! a. Scientific Notation. raise 10 to the 8th power, then subtract v from the result, Q:Without calculating, determine whether each answer is positive or negative. This is the best Problem Solving app, i just love, very helpful explains better than teachers. You can improve your educational performance by studying regularly and practicing good study habits. But let's suppose that I've forgotten the rules again. A:(109)11 x [10-7 x (0.1)4]10 Pause this video and try to figure it out. b) ZEOD Exponents. 90, Q:Simplify; cube root of 27 omega to the power of 36 z to the power of 5 end root, Q:Find AB. . Show your work. Distance traveled =281.4m = 28140 cm. Free Exponents Calculator - Simplify exponential expressions using algebraic rules step-by-step. How many extra copies of 5 do I have, and where are they? Direct link to loumast17's post The only functions that a, Posted 4 years ago. 0:00 / 3:03Watch full video. Math is a way of solving problems by using numbers and equations. Simplify the following and express as a single power. a) DC EXAMPLE Simplify 2 a 1-3 b 2a 1+2 b 2 and write the answer with positive exponents. 27 Why wasn't -x^-2 rewritten as -1/x^2 ? Ask the user to enter the values of a, b and c and then print out the values of x). When n is an even number, the nth power of a positive or a negative number is a positive number. Simplify any powers using laws of indices. By simplifying a radical expression, we mean putting the radical expression in standard form. Simplify the expression to a single power of x. 17. algebra math video tutorial focuses on simplifying exponents with rules such as the product rule, power rule, and quotient rule. Find the numerical value of 27 4/3 without using a calculator. Here we observe that first number is just greater than 4 while, Q:In the diagram below, if AB= 51, and AC = 120. find BC. Simplifying Exponents With Different Bases and Different Power. Simplify to a single power of 4 This video explains how to simplify exponential expressions using the power rule of exponents. Simplify Calculator. The even-odd identities relate the value of a trigonometric function at a given angle to the value of the function at the opposite angle. Expanding Logarithms. Oe None We will focus on applying the product rule, quotient rule as well as power rule. In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. 15 Practice your math skills and learn step by step with our math, This is an online calculator for exponents. Convert this number to decimal form. 17 to the two times 1/3 power or to the 2/3 power. Simplifying surds. Variables. then find the 20th term. Find : BC = ? it at x equals eight. 46, Q:Find the highest power of 60 contained in 1000! Step 1: Enter the expression you want to simplify into the editor. In the figure to the right, if 1= 76.00, find: The parenthetical portion still simplifies to 1, but this time the "minus" is out in front of the parentheses; that is, it's out from under the power, so the exponent doesn't touch it. For example. The exponent of a number says how many times to use the number in a multiplication. Math is the study of numbers, shapes, and patterns. 1. At first i was testing it out to see if it really was giving you the correct answers, but after a few tries it worked like a charm. Now, we wanna know what Let's simplify (5 2) 4. Example: Simplify (45) 2 4 2 5 2 = 1625 = 400 If the same bases possess different powers the powers will be added. Direct link to DJ Daba's post Here's an insight that I , Posted 2 years ago. Remember these general rules: \[\sqrt{a} \times \sqrt{a} = a\] Direct link to David Liu's post When you said: "d/dx 1/x^, Posted 2 years ago. Since the trigonometric function is raised to the third power, there will be one quantity of square power. 98.00- When an exponent is 0, the result of the exponentiation of any base will always be 1, although some debate surrounds 0 0 being 1 or undefined. Direct link to Iron Programming's post I don't know exactly, why, Posted 4 years ago. times x is equal to eight to the negative 1/3 power. Actually, let me just 107.00 Solution For 4. 0 And the idea is to rewrite Calculator Use. 4 x /20 c.) X245 d.) X2/9 javascript:void (0) Simplify the . Q:In scientific notation, the 10 is raised to some power. . Direct link to Sthaman Sinha's post Hey, so I was just toying, Posted 4 years ago. simplify, solve for, expand, factor, rationalize. Multiplying the numerator and denominator of the complex fraction by ab2, we get. The whole expression 3 4 is said to be power. Simplify to a single power of 4 calculator. With Decide math, you can take the guesswork out of math and get the answers you need quickly and easily. The Power Property for Exponents says that ( a m) n = a m n when m and n are whole numbers. Q:2. (5 2) 4 is a power of a power. Numbers are some measures used for counting. something to an exponent and then raise that to an exponent, I can just take the This site is using cookies under cookie policy . Write your answer as an integer or as a decimal rounded to the nearest tenth. Example. It might help to think of x^-1 = 1/x. Let's say that we're told that f of x is equal to the cube root of x and we wanna figure out what Q:Calculate the value of Watch ads now so you can enjoy fewer interruptions. And so, this is gonna be x if you can figure that out. going to be equal to two, and so, eight to the Express the following fraction in simplest form using only positive exponents. c) AC, A:Given: 0 1 (a) 1 1 2 2 567 (b) 3 -1 1 2 1 4 2 (c) -1 1 1 2 5 4 1 3 For. Simplify and Write as Single Power Laws of Exponents 50K views 7 years ago Exponents Simplify and Evaluate Expressions MPM1D. Q: Multiply the numerator and denominator of the fraction by the conjugate of the denomi-nator, and. Find more here: https://www.freemathvideos.com/about-me/#Simplfiyexpressions #rulesofexponents #brianmclogan Transcribed image text: Simplify the expression to a single power of x. x/2)1/5 1/4 X a.) · AAC Block Adhesive (Chemical) Application · Tile Flooring-Estimating Number of. Go! A percentage is a number indicated as a fraction of 100. View this solution and millions of others when you join today! How to calculate the aerocrete for building manually knowing the area of the walls (108 m2) and their thickness (0.3 m), you will find a volume of 108 m2 x 0.3, Discriminant of a quadratic equation graph, Equation of a plane given a point and a line calculator, Finding removable discontinuity calculator, How to find missing side of triangle with one side, How to find the possible degree of a graph, How to integrate e to the power of something, Proportion word problems worksheet answer key, Solving exponential growth and decay equations. cube root of x squared, we can say this is x 81 For example, 53 could be referred to as five to the third power. squared to the 1/3 power, which is the same thing as the derivative with respect to x of, well, x squared, if I raise And the key thing to appreciate Im 15 years old and I use this app so that I could learn new things in math. In this case, the base is 5 2 and the exponent is 4, so you multiply 5 2 four times: (5 2) 4 = 5 2 5 2 5 2 5 2 = 5 8 (using the Product Rule - add the exponents). 12 \[(5x^3)^2=5^2\times . O2V3 Hence, Q:What is the last digit of the number you get when you raise 7to the 151st power? Get detailed solutions to your math problems with our Power of a product step-by-step calculator. At 24/7 Customer Support, we are always here to help you with whatever you need. rule is incredibly powerful. a power of 100. Let's move on to expressions that are a bit more complex. 16 sin 4 = 2 cos 4 8 cos 2 + 6. You can provide multiple ways to do something by listing them out, providing a step-by-step guide, or giving a few options to choose from. Any lowercase letter may be used as a variable. point (-3,0) 4.362-7.0086 Since,cotu=cosusinu,tanu=sinucosu Derive a Java program that Solve a quadratic equation of the type . To find the remainder we shall use the fact: D Well, that's 2/3 minus 3/3 or it would be negative 1/3 power. A negative power just makes the root a fraction. try, Q:In 817.3 Sec a point on the edge ofa wheel, Get detailed solutions to your math problems with our Powers of powers step-by-step calculator. What is that going to be equal to? And so, this is going to be 1/3 times x to the 1/3 minus one is negative 2/3, negative 2/3 power, and we are done. Direct link to loumast17's post I think it might depend o, Posted 3 years ago. is a column dedicated to answering all of your burning questions. Using Scientific Notation. Sometimes we apply more than one rule in order to expand an expression. And I mustn't try to subtract the numbers, because the 5 and the 3 in the fraction katex.render("\\frac{5}{3}", typed03);5/3 are not at all the same as the 5 and the 3 in rational expression katex.render("\\frac{x^5}{x^3}", typed04);x5/x3. If the different bases possess the same power the bases will possess the power separately. Math can be confusing, but there are ways to make it easier. VIO So exponential, logarithmic, trig functions, those are all NOT power functions. How much green material will he need? One way is to clear up the equations. = 1099 x 10-70 x, Q:Perform the indicated How do you evaluate x ^ (-2/3). [ Answers] 6 appreciate that one over x is the same thing as

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Todos os Direitos Reservados à simplify to a single power of 4® 2015