Question

Simplify :

$56x^4{y}^3{z}^2÷7x^2{y}^2{z}^3$

• A. $\frac{8x^{2}y}{z}$
• B. $8x^{2}y$
• C. $8xyz$
• D. $\frac{8}{x^{2}yz}$

Answer 1

The correct option is A $\frac{8x^{2}y}{z}$

$56x^4{y}^3{z}^2÷7x^2{y}^2{z}^3=\frac{56x^4{y}^3{z}^2}{7x^2{y}^2{z}^3}$

$=8\times \frac{x^4}{x^2}\times \frac{y^3}{y^2}\times \frac{z^2}{z^3}$

$=8x^{4-2}{y}^{3-2}{z}^{2-3}=8x^{2}y{z}^{-1}$

$=\frac{8x^{2}y}{z}$