To evaluate the expression [tex]\(-(5)^3\)[/tex], let's break the problem down step by step:
1. Identify the base and the exponent: Here, the base is 5, and the exponent is 3.
2. Calculate the power: Raise 5 to the power of 3. This means multiplying 5 by itself three times:
[tex]\[
5^3 = 5 \times 5 \times 5
\][/tex]
Performing the multiplications:
[tex]\[
5 \times 5 = 25
\][/tex]
[tex]\[
25 \times 5 = 125
\][/tex]
So, [tex]\(5^3 = 125\)[/tex].
3. Apply the negative sign: The expression has a negative sign in front of the exponentiation:
[tex]\[
-(5^3) = -125
\][/tex]
Thus, the value of [tex]\(-(5)^3\)[/tex] is [tex]\(\boxed{-125}\)[/tex].
