Certainly! Let's simplify the expression [tex]\((\sqrt{100}-8)^3 \cdot 5\)[/tex] step by step.
1. Calculate the square root:
[tex]\[
\sqrt{100} = 10
\][/tex]
2. Subtract 8 from the square root value:
[tex]\[
10 - 8 = 2
\][/tex]
3. Cube the resulting value:
[tex]\[
2^3 = 8
\][/tex]
4. Multiply by 5:
[tex]\[
8 \cdot 5 = 40
\][/tex]
Therefore, the simplified value of the expression [tex]\((\sqrt{100}-8)^3 \cdot 5\)[/tex] is [tex]\(40\)[/tex].
