Question

please give this answer WHO will give the corret he or she will marked as Briant answer​

Answer 1

$\sf\huge\bold{Answer:}$

Given :

$\tt\ \bigg(\frac{2}{5} \bigg) {}^{3} \div \bigg(\frac{2}{5} \bigg) {}^{5}$

To find :

Simplest form

Solution :

$\tt\ = \bigg(\frac{2}{5} \bigg) {}^{3} \div \bigg(\frac{2}{5} \bigg) {}^{5}$

• Identity used :

$\boxed{ \bf\red{a {}^{m} \div a {}^{n} = a {}^{m - n} }}$

$= \tt\ \bigg(\frac{2}{5} \bigg) {}^{3 - 5}$

$= \tt\ \bigg(\frac{2}{5} \bigg) {}^{ - 2}$

$\boxed{ \bf\red{a {}^{ - x} = \frac{1}{a {}^{x} } } }$

$= \tt\ \bigg(\frac{5}{2} \bigg) {}^{2}$

$= \tt\ \bigg(\frac{5 \times 5}{2 \times 2} \bigg)$

$= \tt \: \frac{25}{4}$

$\boxed{\tt\ \purple{ :⟶\bigg(\frac{2}{5} \bigg) {}^{3} \div \bigg(\frac{2}{5} \bigg) {}^{5} = \frac{25}{4} }}$

Answer 2

Answer:

Step-by-step explanation:

$(\frac{2}{5})^{3} / (\frac{2}{5})^{5}=(\frac{2}{5})^{3-5}=(\frac{2}{5})^{-2}=(\frac{5}{2})^{2}=(\frac{25}{4})$