# How do you simplify (-3g^-2hk^-2)/(-6h^0) using only positive exponents?

Jul 1, 2016

$\frac{h}{2 {g}^{2} {k}^{2}}$

#### Explanation:

${g}^{-} 2$ is another way of writing:$\text{ } \frac{1}{g} ^ 2$
${k}^{-} 2$ is another way of writing: $\text{ } \frac{1}{k} ^ 2$
$\frac{1}{h} ^ 0$ is the same as $\frac{1}{1} = 1$

Write as: $\text{ } \frac{1}{{g}^{2}} \times \frac{1}{k} ^ 2 \times 1 \times \frac{- 3}{- 6} \times \frac{h}{1}$

But $\frac{- 3}{- 6} = + \frac{1}{2}$ giving:

$\frac{h}{2 {g}^{2} {k}^{2}}$