Question

(3/5)³÷(3/5)^8

ans =. -27/64÷-27/64*-¾*¾
-27/64 ÷ 9/*-27/16*64
-27/64 *-1024/243
ans = 16/9​

Answer 1

Answer:

$\red { \left( \frac{3}{5}\right)^{3} \div \left( \frac{3}{5}\right)^{8}}$

$\green {= \frac{3125}{243}}$

Step-by-step explanation:

$\left( \frac{3}{5}\right)^{3} \div \left( \frac{3}{5}\right)^{8}$

$= \frac{1}{\left( \frac{3}{5}\right)^{8-3}}$

$\boxed {\pink { \frac{x^{m}}{x^{n}} = \frac{1}{x^{m-n}} }}$

$= \frac{1}{\left( \frac{3}{5}\right)^{5}}$

$= \left( \frac{5}{3}\right)^{5}$

$= \frac{5^{5}}{3^{5}}$

$= \frac{3125}{243}$

Therefore.,

$\red { \left( \frac{3}{5}\right)^{3} \div \left( \frac{3}{5}\right)^{8}}$

$\green {= \frac{3125}{243}}$

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