Question

Match the following with their simplified form:

• A. $(\frac{5}{3}{)}^2$
• B. $(\frac{5}{3}{)}^4$
• C. $(\frac{5}{3}{)}^3$

Answer 1

A.$\frac{625}{81}=\frac{5^4}{3^4}=\left(\frac{5}{3}{)}^4\right(\because \frac{a^m}{b^m}=\left(\frac{a}{b}{)}^m\right)$

B.$\frac{125}{27}=\frac{5^3}{3^3}=\left(\frac{5}{3}{)}^3\right(\because \frac{a^m}{b^m}=\left(\frac{a}{b}{)}^m\right)$

C.$\frac{25}{9}=\frac{5^2}{3^2}=\left(\frac{5}{3}{)}^2\right(\because \frac{a^m}{b^m}=\left(\frac{a}{b}{)}^m\right)$