Question

What is a simpler form of the radical expression?

Answer 1

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

Answer 2

the x^2 should be x^20

Answer 3

81 gets simplified to 3 (because 3^4=81), x^20 gets reduced to x^5, y^8 gets reduced to y^2. So 3x^5y^2. Make sense?

Answer 4

is there anything that I have to put in the absolute value

Answer 5

cause I have my choices with absolute values

Answer 6

What are the choices?

Answer 7

Well it can't be the 2nd or 3rd choice because of the 9.

Answer 8

But I think it's the 1st choice, because x^5 gives the opportunity for x to be negative, since the exponent is odd.

Answer 9

And the square root of any number can never be negative.

Answer 10

thanks for the help :)