Certainly! Let's evaluate the expression [tex]\( -(-4)^3 \)[/tex] step-by-step.
1. Calculate [tex]\( (-4)^3 \)[/tex]:
- Raising [tex]\(-4\)[/tex] to the power of 3 means multiplying [tex]\(-4\)[/tex] by itself three times.
- [tex]\[
(-4) \times (-4) \times (-4) = (-4)^3
\][/tex]
- First, calculate [tex]\((-4) \times (-4)\)[/tex]:
[tex]\[
(-4) \times (-4) = 16
\][/tex]
- Next, multiply this result by [tex]\(-4\)[/tex] again:
[tex]\[
16 \times (-4) = -64
\][/tex]
- Therefore:
[tex]\[
(-4)^3 = -64
\][/tex]
2. Negate the result:
- Now, we need to negate the result from the first step:
[tex]\[
-(-64)
\][/tex]
3. Simplify the negation:
- The negative of [tex]\(-64\)[/tex] is:
[tex]\[
-(-64) = 64
\][/tex]
So the final evaluated result of the expression [tex]\( -(-4)^3 \)[/tex] is:
[tex]\[
64
\][/tex]
