To determine the value of the expression [tex]\(\frac{(8^2 - 24)}{2^3}\)[/tex], we need to follow these steps:
1. Calculate the exponentiation in the numerator:
[tex]\[
8^2 = 8 \times 8 = 64
\][/tex]
2. Subtract 24 from the result of the exponentiation in the numerator:
[tex]\[
64 - 24 = 40
\][/tex]
3. Calculate the exponentiation in the denominator:
[tex]\[
2^3 = 2 \times 2 \times 2 = 8
\][/tex]
4. Divide the result from the numerator by the result from the denominator:
[tex]\[
\frac{40}{8} = 5
\][/tex]
So, the value of the expression [tex]\(\frac{(8^2 - 24)}{2^3}\)[/tex] is [tex]\(5.0\)[/tex].
