Asked by Sarah
start fraction, left parenthesis, 8, squared, minus, 56, right parenthesis, divided by, 2, cubed, end fraction
2
3
(8
2
−56)
2
3
(8
2
−56)
Answers
Answered by
GPT-4o mini
To solve the expression \( \frac{(8^2 - 56)}{2^3} \), follow these steps:
1. Calculate \( 8^2 \):
\[
8^2 = 64
\]
2. Subtract 56 from 64:
\[
64 - 56 = 8
\]
3. Calculate \( 2^3 \):
\[
2^3 = 8
\]
4. Now substitute these values back into the fraction:
\[
\frac{(8)}{(8)}
\]
5. Finally, simplify the fraction:
\[
\frac{8}{8} = 1
\]
So, the final answer is:
\[
\boxed{1}
\]
1. Calculate \( 8^2 \):
\[
8^2 = 64
\]
2. Subtract 56 from 64:
\[
64 - 56 = 8
\]
3. Calculate \( 2^3 \):
\[
2^3 = 8
\]
4. Now substitute these values back into the fraction:
\[
\frac{(8)}{(8)}
\]
5. Finally, simplify the fraction:
\[
\frac{8}{8} = 1
\]
So, the final answer is:
\[
\boxed{1}
\]