Question

The triplicate ratio of $a{b}^{\frac{2}{3}}:a^{\frac{2}{3}}b$ is _____

• A. $1:1$
• B. $ab:1$
• C. $a^3{b}^2:a^2{b}^3$
• D. $a:b$

Answer 1

Answer: (D)

$a:b$

The triplicate ratio of $a{b}^{\frac{2}{3}}:a^{\frac{2}{3}}b$ is $(a{b}^{\frac{2}{3}}{)}^3:(a^{\frac{2}{3}}b{)}^3$
$=a^3\cdot b^2:a^2{b}^3$
$a^3{b}^2:a^2{b}^3=\frac{a^3{b}^2}{a^2{b}^3}=\frac{a}{b}$