Question

What is a simpler form of the radical expression?
4^sqrt 81x^20y^8
B. 9|x^25|y^4
C.3|x^5|y^2
D. 9x^25|y^4|

Answer 1

3x^5y²

Simplify the radical by breaking the radicand up into a product of known factors

IGNORE THIS> THIS IS NOT THE ANSWER> IM SORRY.

Answer 2

Answer:

$3x^5y^2$

Step-by-step explanation:

Given : $\sqrt[4]{81x^{20}y^{8}}$

To Find: What is a simpler form of the radical expression?

Solution:

$\sqrt[4]{81x^{20}y^{8}}$ --A

81 can be written as $3^4$

$x^{20}=(x^5)^4$

$y^{8}=(y^2)^4$

Substitute the values in A

$\sqrt[4]{3^4 (x^5)^4 (y^2)^4}$

$3x^5y^2$

Thus Option C is correct.

$3x^5y^2$ is a simpler form of the radical expression