Question

1. $\left(\frac{5}{12}\

ight)^{3}=$

1. $\left(\frac{3}{8}\

ight)^{2}=$

Explanation:

Step1: Recall power - of - a - fraction rule

For a fraction $\frac{a}{b}$ raised to the power $n$, $(\frac{a}{b})^n=\frac{a^n}{b^n}$.

Step2: Calculate $(\frac{5}{12})^3$

$(\frac{5}{12})^3=\frac{5^3}{12^3}=\frac{5\times5\times5}{12\times12\times12}=\frac{125}{1728}$.

Step3: Calculate $(\frac{3}{8})^2$

$(\frac{3}{8})^2=\frac{3^2}{8^2}=\frac{3\times3}{8\times8}=\frac{9}{64}$.

Answer:

$(\frac{5}{12})^3=\frac{125}{1728}$, $(\frac{3}{8})^2=\frac{9}{64}$