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Simplify each radical. Assume that all variables represent positive real mumbers. See Example 3 .$$-\sqrt[4]{\frac{625}{y^{4}}}$$

Algebra

Chapter 10

Roots, Radicals, and Root Functions

Section 3

Simplifying Radical Expressions

Decimals

Exponents and Polynomials

Equations and Inequalities

Complex Numbers

Missouri State University

Oregon State University

Baylor University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

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00:21

Simplify each radical. Ass…

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Express each radical in si…

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Simplify each radical expr…

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01:06

Okay, This is the same as negative Four through 6 25 all over the four through. Why did for us? And when you're doing the 43 to 4 the fourth, the shortcut there is that you're going to divide the expert on the variable by the type of product we have here, the degree of radical. So Ford about before is one. So we know the answer is gonna be a just a why they're on bottom. And then the spirit of the four through of 6 25 um 6 25 25 times 25. So four through it must be fight in spite of its five spot. Right, So this is gonna be five. So the final answer is negative five or why that's your finalists. Remember, when you doing the fourth root of white of the fourth? You can also think of it as the fourth root of wine of the fourth Equalling. Why the fourth raise to the 1/4 power? Because when you write a radical, it costs weirdness. An expert right when you raise it as an exponents, more power to a powerful tells you that when you're raising power to a power, even multiply the expanse. And so what's Ford to the 1/4? Four times? One for sweat? Um, everyone. So that's one of the first. Which is why it's why right here, that's another way to think about it.

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