In Exercises 1–20, use radical notation to rewrite each expressio...

Question

In Exercises 1–20, use radical notation to rewrite each expression. Simplify, if possible.(xy)^⅓

Accepted Answer

Hey, everyone in this problem, we're asked to write the given expression in a radical notation. And to write the answer in simplified form, we're given the expression P Q all to the exponent. 1 4th, we have four answer choices. Option A, the fourth route of P Q. Option B, the 4th route of P option C, the fourth root of P divided by Q and option D, the fourth route of Q divided by P. We're gonna start by rewriting what we were given. So we have P Q all to the exponent 1 4th, we're asked to write this in radical notation. So let's recall our rules on how to relate radicals to exponents. If we have something, say A to the exponent one divided by N, you can write this as the nth root of A. OK. So this allows us to relate the exponent to a radical in our problem. The exponent is applied to P Q OK. So the base or, or a value is P Q, we have the exponent one divided by four. So the end value is four. And so we can write this as the 4th route of P Q and that's that simplified expression we were looking for in radical form. So the correct answer here is the 4th root of P Q which corresponds with answer choice A. That's it for this one. Thanks everyone for watching. See you in the next video.

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In Exercises 1–20, use radical notation to rewrite each expression. Simplify, if possible.(xy)^⅓

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