Question

What is a simpler form of the radical expression?

3^sq root of 125x^21y^24

A. 5x^7|y^8|
B. 15x^21|y^24|
C. 15|x^21|y^24
D. 5x^7y^8

Answer 1

∛125x^21y^24

Split them up:
∛125 * ∛x^21 * ∛y^24

∛125 = 5
∛x^21 = x^7           21/3 = 7
∛y^24 = y^8           24/3 = 8

The simpler form of the radical expression: ∛25x^21y^24 is: D. 5x^7y^8