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

`3x^5y^2`

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