Question

Which expression is equivalent to (256x^16)1/4?

A. 4x^2
B. 4x^4
C. 64x^2
D. 64x^4

Answer 1

Your answer is B

(256x^16)^1/4
=fourth root 256x^16
= 4 x^4

Answer 2

Answer with explanation:

We have to find expression which is equivalent to

`=(256x^(16))^{(1)/(4)}\\\\=[(4*4*4*4)*(x^4)^4]^{(1)/(4)}\\\\=[4^4*(x^4)^4]^{(1)/(4)}\\\\=[(4x^4)^4]{(1)/(4)}\\\\=4x^4`

Option B