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In $11-38,$ evaluate each expression in the set of real numbers.$$\sqrt[4]{16}$$

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Chapter 3

REAL NUMBERS AND RADICALS

Section 2

Roots and Radicals

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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In $11-38,$ evaluate each …

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Hey, guys, showing this problem. We're given the fourth root of 16 and with 1/4 rate of 16 we're being asked to, um, simplify the fourth rate of 16 and 432 16 if I simplify that out is the same thing as four time. It's with Gillian as four times for And if I simplify and factor that even further, that's the same thing as the fourth root of two times. Two times, two times two Basically two times itself four times, two times itself four times is just another way of saying to to the fourth. And so the four through eight of 16 is equal to the fourth root of to the fourth. So whenever you take the four the root of something to the fourth, you're going to get that something back. And that's something in this case is too. Oh, by the way, this step right here the better. I'm gonna rewrite that better right here. This is how the step should actually look like, so it should look like four through two of two in parentheses in the four outside of it. Just a small mistake on my part here, But everything else the fourth root of 16 were saying is equal to two. So that's gonna be our answer to this simple fire expression. Off four through eight of 16.

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