# How do you simplify 5n^-3 and write it using only positive exponents?

$5 {n}^{-} 3 = \frac{5}{n} ^ 3$
Given: $5 {n}^{-} 3$ is an expression with a negative exponent.
When any value has a negative exponent it means we are looking at the reciprocal of a fraction. To evaluate the reciprocal we need to divide $1$ by the value and change the exponent to positive.
$5 {n}^{-} 3 = 5 \left({n}^{-} 3\right) = 5 \left(\frac{1}{n} ^ 3\right) = \frac{5}{n} ^ 3$