Sure! Let's evaluate the given expression step-by-step.
We start with the expression:
[tex]\[
\frac{1}{4}\left(2^3+4^2\right)
\][/tex]
1. Calculate [tex]\(2^3\)[/tex]:
[tex]\[
2^3 = 2 \times 2 \times 2 = 8
\][/tex]
2. Calculate [tex]\(4^2\)[/tex]:
[tex]\[
4^2 = 4 \times 4 = 16
\][/tex]
3. Sum the results of [tex]\(2^3\)[/tex] and [tex]\(4^2\)[/tex]:
[tex]\[
2^3 + 4^2 = 8 + 16 = 24
\][/tex]
4. Multiply the result by [tex]\(\frac{1}{4}\)[/tex]:
[tex]\[
\frac{1}{4} \times 24 = 6
\][/tex]
Therefore, the value of the expression is:
[tex]\[
6
\][/tex]
