Question

Evaluate the expression.

Answer 1

`\displaystyle {5}^( - 3) = \boxed{(1)/( 125) }`

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{(1)/( 125) }`

Answer 2

1/125

Explanation:

5^-3

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

1/5^3

1/125