Let's analyze the given equation step by step and determine its validity.
First, we'll evaluate [tex]\(3^3\)[/tex]:
1. Evaluate [tex]\(3^3\)[/tex]:
[tex]\[
3^3 = 3 \times 3 \times 3
\][/tex]
If we multiply these values together:
[tex]\[
3 \times 3 = 9
\][/tex]
[tex]\[
9 \times 3 = 27
\][/tex]
Thus:
[tex]\[
3^3 = 27
\][/tex]
2. Compare the value of [tex]\(3^3\)[/tex] with -125:
We found that [tex]\(3^3 = 27\)[/tex]. Now, we need to determine if 27 is equal to -125.
Clearly:
[tex]\[
27 \neq -125
\][/tex]
Therefore, the statement [tex]\(3^3 = -125\)[/tex] is false. The correct evaluation of [tex]\(3^3\)[/tex] gives 27, which is not equal to -125.
