To evaluate the expression [tex]\( -(-3)^3 \)[/tex], let's break it down step-by-step:
1. Evaluate the exponent:
We first calculate [tex]\((-3)^3\)[/tex]. This means we raise [tex]\(-3\)[/tex] to the power of 3.
[tex]\[
(-3)^3 = (-3) \times (-3) \times (-3)
\][/tex]
- First, calculate [tex]\((-3) \times (-3)\)[/tex]:
[tex]\[
(-3) \times (-3) = 9
\][/tex]
- Then, multiply the result by [tex]\(-3\)[/tex]:
[tex]\[
9 \times (-3) = -27
\][/tex]
Therefore:
[tex]\[
(-3)^3 = -27
\][/tex]
2. Evaluate the negation:
Next, we need to negate the result of the exponentiation. This means we take the negative of [tex]\(-27\)[/tex]:
[tex]\[
-(-27) = 27
\][/tex]
So, the final value of the expression [tex]\( -(-3)^3 \)[/tex] is:
[tex]\[
27
\][/tex]
Thus, the answer is [tex]\(\boxed{27}\)[/tex].
