Question

$(256 \times 64) \times ^{ \frac{1}{4} }$I can also take a picture of question and multiple choice answers

Answer 1

We are given (256 x 64)^1/4

This can be express as follows

$(256x64)^{\frac{1}{4}}$

256 can be express as 2^8

256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

64 can be express as 2^6

64 = 2 x 2 x 2 x 2 x 2 x 2

The new expression becomes

$\begin{gathered} (2^8\cdot2^6)^{\frac{1}{4}} \\ (2^{8\text{ x }\frac{1}{4}}\cdot2^{6\text{ x }\frac{1}{4}}) \\ (2^2\cdot2^{\frac{3}{2}}) \end{gathered}$