Question

Find the product of $5m^{2}n,-3mnp$ and $-5n^{2}p$.

• A. $75m^3{n}^3{p}^2$
• B. $75m^3{n}^4{p}^2$
• C. $75m{n}^3{p}^3$
• D. $75m^{3}n{p}^2$

Answer 1

The correct option is B

$75m^3{n}^4{p}^2$

$5m^{2}n\times (-3mnp)\times (-5n^{2}p)$
= $[5\times (-3)\times (-5\left)\right]\times (m^2\times m)\times (n\times n\times n^2)\times (p\times p)$
= $75m^{(2+1)}{n}^{(1+1+2)}{p}^{(1+1)}$
= $75m^3{n}^4{p}^2$