(256 * 64) * ^{ (1)/(4) }I can also take a picture of question and multiple choice answers

Question

`(256 * 64) * ^{ (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)^{(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)^{(1)/(4)} \\ (2^{8\text{ x }(1)/(4)}\cdot2^{6\text{ x }(1)/(4)}) \\ (2^2\cdot2^{(3)/(2)}) \end{gathered}`