Need help with a Laws of Exponants Question?

Question

(256x^7)^3/4

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x^1/4

Cant seem to figure this question out

Answer 1

Using (x^a)^b = x^(a * b), the numerator becomes 256x^(21 / 4).

Using (x^a) / (x^b) = x^(a - b), the whole fraction becomes:

256x^(21 / 4 - 1 / 4)

= 256x^(20 / 4)

= 256x^5.