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].
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].
