Question

simplify the following expression. 5^{-3}
a. -5^{3}
b. -\frac{1}{5^{3}}
c. 5(-3)
d. \frac{1}{5^{3}}

Explanation:

Step1: Apply negative - exponent rule

According to the rule $a^{-n}=\frac{1}{a^{n}}$ ($a
eq0$), when $a = 5$ and $n = 3$, we have $5^{-3}=\frac{1}{5^{3}}$.

Answer:

D. $\frac{1}{5^{3}}$