Answer:
[tex] 5^{-3} = \dfrac{1}{125} [/tex]
Step-by-step explanation:
Rule of negative exponents:
[tex] a^{-n} = \dfrac{1}{a^n} [/tex]
This problem:
[tex] 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{5 \cdot 5 \cdot 5} = \dfrac{1}{125} [/tex]
[tex]\boxed{\frac{1}{125}}[/tex]
[tex]5^{-3}[/tex]
Apply rule:
[tex]\displaystyle a^{-b}=\frac{1}{a^b}[/tex]
[tex]\displaystyle 5^{-3}=\frac{1}{5^3}= \frac{1}{125}[/tex]
