Question

Simplify the following expression.
2​[(8minus4​)Superscript 5divided by8​]

Answer 1

Let's simplify the expression step by step.

The expression is:

\[
2 \left[ \frac{(8 - 4)^5}{8} \right]
\]

1. First, simplify the expression inside the parentheses:
\[
8 - 4 = 4
\]

2. Now substitute \(4\) back into the expression:
\[
2 \left[ \frac{4^5}{8} \right]
\]

3. Next, calculate \(4^5\):
\[
4^5 = 1024
\]

4. Now substitute \(1024\) back into the expression:
\[
2 \left[ \frac{1024}{8} \right]
\]

5. Calculate \(\frac{1024}{8}\):
\[
\frac{1024}{8} = 128
\]

6. Finally, substitute \(128\) back into the expression:
\[
2 \times 128 = 256
\]

Thus, the simplified expression is:

\[
\boxed{256}
\]