Question

Evaluate the expression.

Answer 1

Answer:

1/125

Step-by-step explanation:

5^-3

We know that a^-b = a/a^b

1/5^3

1/125

Answer 2

Answer:

$\displaystyle {5}^{ - 3} = \boxed{\frac{1}{ 125} }$

Step-by-step explanation:

we would like to evaluate the following expression:

$\displaystyle {5}^{ - 3}$

recall that,

$\displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} }$

let x be 5 thus substitute:

$\displaystyle {5}^{ - 3} = \frac{1}{ {5}^{3} }$

simplify:

$\displaystyle {5}^{ - 3} = \boxed{\frac{1}{ 125} }$