Question

Solve the Following (2/3)⁵÷(2/3)²​

Answer 1

Answer:

$(\frac{2}{3})^{5}$ ÷ $(\frac{2}{3})^{2}=\frac{8}{27}$

Step-by-step explanation:

$(\frac{2}{3})^{5}$ ÷ $(\frac{2}{3})^{2}$

$=(\frac{2}{3})^{(5-2)}$ (∵ $\frac{x^{m}}{x^{n}}=x^{(m-n)}$)

⇒ $(\frac{2}{3})^{3}$

⇒ $\frac{2^{3}}{3^{3}}$

⇒ $\frac{8}{27}$

∴ $(\frac{2}{3})^{5}$ ÷ $(\frac{2}{3})^{2}=\frac{8}{27}$