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

   $=(256x^{16})^{\frac{1}{4}}\\\\=[(4*4*4*4)*(x^4)^4]^{\frac{1}{4}}\\\\=[4^4*(x^4)^4]^{\frac{1}{4}}\\\\=[(4x^4)^4]{\frac{1}{4}}\\\\=4x^4$

Option B