# How do you simplify and write x^-6/(4y^5) with positive exponents?

Mar 18, 2018

$\frac{1}{4 {x}^{6} {y}^{5}}$

#### Explanation:

$\frac{{x}^{-} 6}{4 {y}^{5}}$

$= {x}^{-} 6 \times \frac{1}{4 {y}^{5}}$ [Just break the expression up]

$= \frac{1}{x} ^ 6 \times \frac{1}{4 {y}^{5}}$ [Us the rule of indices : ${a}^{-} n = \frac{1}{a} ^ n$]

$= \frac{1}{4 {x}^{6} {y}^{5}}$ [Just multiply to get the answer.]

Hope this helps.