Question

Carry out the division of $34x^3{y}^3{z}^3$ with $51x{y}^2{z}^3$.

• A. $\frac{1}{2}xy$
• B. $\frac{21}{48}{x}^{2}y$
• C. $\frac{34}{3}xy$
• D. $\frac{2}{3}{x}^{2}y$

Answer 1

Answer: (D)

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

$34x^3{y}^3{z}^3÷51x{y}^2{z}^3$

$34x^3{y}^3{z}^3=2\times 17\times x\times x\times x\times y\times y\times y\times z\times z\times z$
$51x{y}^2{z}^3=3\times 17\times x\times y\times y\times z\times z\times z$
$34x^3{y}^3{z}^3÷51x{y}^2{z}^3=\frac{2\times 17\times x\times x\times x\times y\times y\times y\times z\times z\times z}{3\times 17\times x\times y\times y\times z\times z\times z}$$=\frac{2}{3}{x}^{2}y$