Question

The shortest form of: $\frac{84x^9{z}^6{y}^4}{7y^2{z}^4{x}^7}$

• A. $12x^2{z}^2{y}^2$
• B. $12x^3{z}^2{y}^2$
• C. $12(xyz{)}^2$
• D. $12(xyz{)}^3$

Answer 1

Answer: (A), (C)

The correct options are
A

$12x^2{z}^2{y}^2$

C

$12(xyz{)}^2$

$\frac{84x^9{z}^6{y}^4}{7y^2{z}^4{x}^7}$ $\Rightarrow$ $\frac{84x^9{z}^6{y}^4}{7x^7{z}^4{y}^2}$

On canceling the common term gives the shortest form as $12x^2{z}^2{y}^2$