Question

Please Simplify. $(2^{3} )^{4}$

A. 128

B. 4,096

C. 32

D. 162

Answer 1

Answer:

4096 is the simplified form of $\left(2^{3}\right)^{4}$

Option: B

Step-by-step 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.

$2^{3}=(2 \times 2 \times 2)$

$2^{3}=(2 \times 2 \times 2)$

$2^{3}=(4 \times 2)$

$2^{3}=8$

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

$\left(2^{3}\right)^{4}=8 \times 8 \times 8 \times 8$

$\left(2^{3}\right)^{4}=64 \times 8 \times 8$

$\left(2^{3}\right)^{4}=512 \times 8$

$\left(2^{3}\right)^{4}=4096$

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