Question

Please Simplify.
`(2^(3) )^(4)`

A. 128

B. 4,096

C. 32

D. 162

Answer 1

4096 is the simplified form of
`\left(2^(3)\right)^(4)`

Option: B

Explanation:

Given that
`\left(2^(3)\right)^(4)`

`2^(3)` represents 2 to the power 3 that means the number appears three times in multiplying.

`2^(3)=(2 * 2 * 2)`

`2^(3)=(2 * 2 * 2)`

`2^(3)=(4 * 2)`

`2^(3)=8`

`\left(2^(3)\right)^(4)` represents 2³ to the power 4 means the number 4 appears four times in multiplying.

`\left(2^(3)\right)^(4)=8 * 8 * 8 * 8`

`\left(2^(3)\right)^(4)=64 * 8 * 8`

`\left(2^(3)\right)^(4)=512 * 8`

`\left(2^(3)\right)^(4)=4096`

Hence the simplified form of
`\left(2^(3)\right)^(4)` is 4096.