Question

What is the cube root of 8x^27? 2x^3 2x^9 4x^3 4x^9

Answer 1

2 x^9

Explanation:

8x ^27

We want to take the cube root

(8x ^27) ^1/3

We know that (ab)^1/3 = a^1/3 * b^1/3

(8) ^ 1/3 (x ^27) ^1/3

Re writing 8 as 2^3

(2 ^3) ^ 1/3 (x ^27) ^1/3

We know that a^b^c = a^ (b*c)

(2 ^(3* 1/3) *x ^(27 *1/3)

2 ^ 1 * x ^ 9

2 x^9