# How do you simplify (4ab^-2)/(-3c^-2) and write it using only positive exponents?

##### 1 Answer
May 25, 2017

$- \frac{4 a {c}^{2}}{3 {b}^{2}}$

#### Explanation:

Given: $\frac{4 a {b}^{-} 2}{- 3 {c}^{-} 2}$

Use the exponent rules ${x}^{- n} = \frac{1}{x} ^ n \text{ and } \frac{1}{x} ^ \left(- m\right) = {x}^{m}$

$\frac{4 a {b}^{-} 2}{- 3 {c}^{-} 2} = \frac{4 a}{- 3 {b}^{2} {c}^{-} 2} = \frac{4 a {c}^{2}}{- 3 {b}^{2}}$

Negative sign: $\frac{1}{- 2} = \frac{- 1}{2} = - \frac{1}{2}$

$\frac{4 a {c}^{2}}{- 3 {b}^{2}} = - \frac{4 a {c}^{2}}{3 {b}^{2}}$