The value of $\left(2^{3}\right)^{2}-4^{3}$ is
(A) 0
(B) -8
(C) 4
(D) 10
(E) 12
Solution 1

Using order of operations to evaluate, $\left(2^{3}\right)^{2}-4^{3}=8^{2}-4^{3}=64-64=0$.

Solution 2

We first express 4 as $2^{2}$ and then use exponent rules to evaluate.

$$
\begin{aligned}
\left(2^{3}\right)^{2}-4^{3} & =\left(2^{3}\right)^{2}-\left(2^{2}\right)^{3} \\
& =2^{3 \times 2}-2^{2 \times 3} \\
& =2^{6}-2^{6} \\
& =0
\end{aligned}
$$

ANSWER: (A)