Certainly! Let's simplify the given mathematical expression step by step.
We are given the expression [tex]\((\sqrt{25} - 4)^3 \cdot 5\)[/tex].
1. Calculate the square root of 25:
[tex]\[
\sqrt{25} = 5
\][/tex]
2. Subtract 4 from the square root of 25:
[tex]\[
5 - 4 = 1
\][/tex]
So, [tex]\(\sqrt{25} - 4 = 1\)[/tex].
3. Raise the result to the power of 3:
[tex]\[
(1)^3 = 1
\][/tex]
So, [tex]\((\sqrt{25} - 4)^3 = 1\)[/tex].
4. Multiply the result by 5:
[tex]\[
1 \cdot 5 = 5
\][/tex]
Therefore, the simplified value of the expression [tex]\((\sqrt{25} - 4)^3 \cdot 5\)[/tex] is [tex]\(\boxed{5}\)[/tex].
