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Simplify each radical. Assume that all variables represent positive real mumbers. See Example 3 .$$\sqrt[5]{\frac{32}{y^{20}}}$$

Algebra

Chapter 10

Roots, Radicals, and Root Functions

Section 3

Simplifying Radical Expressions

Decimals

Exponents and Polynomials

Equations and Inequalities

Complex Numbers

Campbell University

McMaster University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

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00:33

Simplify each radical. Ass…

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Express each radical in si…

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02:51

Hey, the history of the stretch over 1/20 is the same as the fifth through about 32 all over the fifth through of White of the 20th. And when we're doing the fifth root of 32 um, which I think of what number that would work with That might be too. Right. So what's two times? Two times, two times? Two times two? Well, that's four times four times to which is eight times to start 16 times. Teoh, which works right? Those 16 times two is, in fact, 32. Right, So we know that it's gonna be a two for the numerator, so we're gonna right? That is it to and for the dominator, the shark It is when you have one of the 23. So you're taking the fifth root of that? You just take the expert on the very boring divided by the route. So 20 divided by five is one of the fourth. Okay, A Just think about that another way. Why did the 20th rate taking the fifth root of that is the same is raising it to the 1/5 power. And when you raise the power to a power used both by the exponents. That's why I was 20 times 1/5 which is what for? That's your extra rights. That's I do the problem. The answer is too overwhelming for

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