Question

Simplify 5 −3
.(1 point)
Responses

5−3=1/5
5 superscript negative 3 baseline equals Start Fraction 1 over 5 End Fraction

5 −3=1/125
5 superscript negative 3 baseline equals Start Fraction 1 over 125 End Fraction

5 −3=125
5 superscript negative 3 baseline equals 125

5 −3=1/15

Answer 1

To simplify \( 5^{-3} \):

Using the rule of exponents that states \( a^{-n} = \frac{1}{a^n} \), we can rewrite the expression:

\[
5^{-3} = \frac{1}{5^3}
\]

Now calculate \( 5^3 \):

\[
5^3 = 5 \times 5 \times 5 = 125
\]

So,

\[
5^{-3} = \frac{1}{125}
\]

Thus, the correct response is:

**5 superscript negative 3 baseline equals Start Fraction 1 over 125 End Fraction**.