Question

Which of the following expressions is equivalent to (8x)^2/3 ?

a 4 cubic root of x^2
b Cubic root of 8x^2
c 4x^2/3
d (8^2/3) (x^2/3)

Answer 1

4x^2/3

Explanation:

Given the expression (8x)^2/3

This can also be expressed as;

(8x)^2/3

= (2^3x)^2/3

= (2³)^2/3 * x^2/3

= 2^2 * x^2/3

= 4x^2/3

Hence the equivalent expression is 4x^2/3