Question

If $m$ is a positive integer, which of the following is NOT equal to $(2^4{)}^m$?

• A. $2^{4m}$
• B. $4^{2m}$
• C. $2^m\left(2^{3m}\right)$
• D. $4m\left(2^m\right)$
• E. ${16}^m$

Answer 1

The correct option is D $4m\left(2^m\right)$

$\left(A\right)$ $(2^4{)}^m=2^{4m}$

$\left(B\right)$ $(2^4{)}^m=(2^2{)}^{2m}=(4{)}^{2m}$

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

$\left(D\right)$ $(2^4{)}^m\ne 4m(2^m)$

$\left(E\right)$ $(2^4{)}^m={16}^m$

Then $\left(D\right)$ is not equal to $(2^4{)}^m$