Question

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

Answer 1

Answer: 4x^4

Explanation:

Firstly, let's apply the ^1/4 to the 256

The fourth root of 256 is 4, that will be the coefficient in our answer

Next, let's apply the ^1/4 to the x^16

The power of powers property says we can multiply the two exponents as so:

(x^16)^1/4 = x^(16*1/4) = x^4

Now combine the 4 and x^4 to get: 4x^4