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.(2xy³)^⅕

Accepted Answer

Hey, everyone in this problem, we're asked to write the given expression in radical notation and to write the answer in simplified form, the expression we're given is five X squared Y to the exponent four all to the exponent 1/ we have four answer choices. Option A, the fifth route of X to the exponent 0.4 Y to the exponent 0.8. Option B the fifth route of five X to the exponent four Y squared. Option C the fifth route of five X to the exponent 2/5 Y to the exponent 4/5. And option D the fifth route of five X squared Y to the exponent four, we're gonna start by rewriting what we were given. So we have five X squared Y to the exponent four in brackets. All of this is raised to the exponent 1/5. Now we have an exponent of 1/5, we're going to write this in radical notation. So let's recall the relationship between exponents and radicals. If we have a, to the exponent one divided by N, this is equivalent to writing the N root of A. So in our case, the base of our exponent is five X squared Y to the exponent four. So that's our a value, our exponent is one divided by five. So the end value is five and we can apply this rule. And we have that this is equal to the 5th route A five X squared. Why, why to the exponent bore? And this is our simplified expression in radical form that we were looking for. And we found that the correct answer was the fifth root of five X squared Y to the exponent four, which corresponds with answer choice D. 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.(2xy³)^⅕

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