start fraction, left parenthesis, 8, squared, minus, 56, right parenthesis, divided by, 2, cubed, end fraction

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: \[ \boxed{1} \]