Question

The quotient when $(-56mn{p}^2)$ is divided by $\left(7mnp\right)$ is _____.

• A. $-8p$
• B. $8mnp$
• C. $8p$
• D. $8m$

Answer 1

The correct option is A $-8p$

Let the quotient when $(-56mn{p}^2)$ is divided by $\left(7mnp\right)$ be $q$.

$\Rightarrow q=\frac{-56mn{p}^2}{7mnp}$

$\Rightarrow q=\frac{7mnp\times (-8p)}{7mnp}$

$\Rightarrow q=-8p$

Therefore, quotient when $(-56mn{p}^2)$ is divided by $\left(7mnp\right)$ is $-8p$.

Option (A) is correct.