Question

$( \frac{2}{5} ) {}^{3} \times ( \frac{2}{5} ) {}^{5} \div ( \frac{2}{5} ) {}^{7 = }$
Simplify to get the answer as a simple rational number.​

Answer 1

Answer:

$= {( \frac{2}{5}) }^{3} \times {( \frac{2}{5}) }^{5} \div {( \frac{2}{5}) }^{7}$

same base means add the power if multiplication:

minus the power if division.

$= {( \frac{2}{5}) }^{3 + 5} \div {( \frac{2}{5} )}^{7}$

$= ( { \frac{2}{5} )}^{8} \div {( \frac{2}{5} )}^{7}$

$= {( \frac{2}{5} )}^{8 - 7}$

$= {( \frac{2}{5}) }^{1}$

$= \frac{2}{5}$

Step-by-step explanation:

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