# How do you simplify 6m^-8n div p^-1?

Aug 6, 2018

$\text{ }$
$\left[\frac{6 n p}{m} ^ 8\right]$

#### Explanation:

$\text{ }$
Given:

$6 {m}^{-} 8 n \div {p}^{-} 1$

Exponent Formula:

color(blue)(a^(-b)=1/(a^b)

$\Rightarrow \frac{6 \cdot \left(\frac{1}{m} ^ 8\right) \cdot n}{\frac{1}{p}}$

$\Rightarrow \frac{6 \cdot 1 \cdot n}{{m}^{8} \cdot \left(\frac{1}{p}\right)}$

$\Rightarrow \left[\frac{6 \cdot n \cdot p}{m} ^ 8\right]$

$\Rightarrow \left[\frac{6 n p}{m} ^ 8\right]$

Hope this helps.
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