Answer :

To evaluate the expression [tex]\((-13)^3\)[/tex], follow these steps:

1. Identify the base and the exponent: In [tex]\((-13)^3\)[/tex], the base is -13 and the exponent is 3. This means we need to multiply -13 by itself three times.

2. Perform the multiplication:
- First, multiply -13 by -13:
[tex]\[
(-13) \times (-13) = 169
\][/tex]
(Remember: multiplying two negative numbers gives a positive result.)

- Next, take the result from the first multiplication (169) and multiply it by -13 again:
[tex]\[
169 \times (-13) = -2197
\][/tex]
(Multiplying a positive number by a negative number results in a negative number.)

3. Conclusion: The final result of [tex]\((-13)^3\)[/tex] is [tex]\(-2197\)[/tex].

Hence, the value of [tex]\((-13)^3\)[/tex] is [tex]\(-2,197\)[/tex].

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