Simplify the expression

Question

Simplify the radical expression. The variable represents a positive real number.

3 cuberoot of -81x^9

Answer 1

3 * (-81x^9)^(1/3)

3 * (-27)^(1/3) * (3)^(1/3) * (x^9)^(1/3)

3 * (-3) * (3)^(1/3) * x^3

-9x^3 * (3)^(1/3)