Question

Simplify: $(-80m^{4}npq)÷10m^3{pqn}^2$

• A. $-8mn$
• B. $-8mnpq$
• C. $-8m$
• D. $\frac{-8m}{n}$

Answer 1

The correct option is D $\frac{-8m}{n}$

$(-80m^{4}npq)÷10m^3{pqn}^2=\frac{-80m^{4}npq}{10m^3{pqn}^2}$

$=-8\times \frac{m^4}{m^3}\times \frac{n}{n^2}\times \frac{p}{p}\times \frac{q}{q}$

$=-8m^{4-3}\times n^{1-2}$

$=-8m\times n^{-1}$

$=\frac{-8m}{n}(\because n^{-1}=\frac{1}{n})$