Answer:
[tex]\displaystyle \large{-5^{-3}}[/tex]
Step-by-step explanation:
Given:
[tex]\displaystyle \large{-\dfrac{1}{125}}[/tex]
Convert to exponent using the laws of exponent:
[tex]\displaystyle \large{\dfrac{1}{a^n} = a^{-n}}[/tex]
That means we must find the base and exponent for 125, which is [tex]\displaystyle \large{5^3}[/tex]:
[tex]\displaystyle \large{-\dfrac{1}{125} = -\dfrac{1}{5^3}}[/tex]
From the law of exponent:
[tex]\displaystyle \large{-\dfrac{1}{5^3} = -5^{-3}}[/tex]
Therefore, the solution is [tex]\displaystyle \large{-5^{-3}}[/tex]
