4096 is the simplified form of ![\left(2^{3}\right)^{4}](/tpl/images/0380/3646/e7748.png)
Option: B
Step-by-step explanation:
Given that ![\left(2^{3}\right)^{4}](/tpl/images/0380/3646/e7748.png)
represents 2 to the power 3 that means the number appears three times in multiplying.
![2^{3}=(2 \times 2 \times 2)](/tpl/images/0380/3646/3c72b.png)
![2^{3}=(2 \times 2 \times 2)](/tpl/images/0380/3646/3c72b.png)
![2^{3}=(4 \times 2)](/tpl/images/0380/3646/512c9.png)
![2^{3}=8](/tpl/images/0380/3646/89777.png)
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](/tpl/images/0380/3646/c64cb.png)
![\left(2^{3}\right)^{4}=64 \times 8 \times 8](/tpl/images/0380/3646/9a021.png)
![\left(2^{3}\right)^{4}=512 \times 8](/tpl/images/0380/3646/b584b.png)
![\left(2^{3}\right)^{4}=4096](/tpl/images/0380/3646/fffb0.png)
Hence the simplified form of
is 4096.