Question

Carry out the following division:

$34x^3{y}^3{z}^3÷51x{y}^2{z}^3$

• A. $\frac{7}{3}{x}^{2}y$
• B. $\frac{2}{3}{x}^2{y}^2$
• C. $\frac{4}{3}{x}^{2}y$
• D. $\frac{2}{3}{x}^{2}y$

Answer 1

The correct option is D $\frac{2}{3}{x}^{2}y$

Given: $34x^3{y}^3{z}^3÷51x{y}^2{z}^3$

$=\frac{34x^3{y}^3{z}^3}{51x{y}^2{z}^3}$

$=\frac{17\times 2\times x\times x\times x\times y\times y\times y\times z\times z\times z}{17\times 3\times x\times y\times y\times z\times z\times z}$

$=\frac{2}{3}{x}^{2}y$