# How do you simplify (5x^-4)/x^-9 and write it using only positive exponents?

Mar 3, 2018

$\frac{5 {x}^{-} 4}{x} ^ - 9 = 5 {x}^{5}$

#### Explanation:

A law for exponential division

${a}^{m} / {a}^{n} = {a}^{m - n}$

So

$\frac{5 {x}^{-} 4}{x} ^ - 9 = 5 \times {x}^{-} \frac{4}{x} ^ - 9 = 5 \times {x}^{- 4 - - 9} = 5 {x}^{5}$