Answer:
[tex] \displaystyle {5}^{ - 3} = \boxed{\frac{1}{ 125} }[/tex]
Step-by-step explanation:
we would like to evaluate the following expression:
[tex] \displaystyle {5}^{ - 3} [/tex]
recall that,
[tex] \displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} } [/tex]
let x be 5 thus substitute:
[tex] \displaystyle {5}^{ - 3} = \frac{1}{ {5}^{3} } [/tex]
simplify:
[tex] \displaystyle {5}^{ - 3} = \boxed{\frac{1}{ 125} }[/tex]
