Question

Find the value of (-2/5) to the power 7 divide by (-2/5) to the power of 5​

Answer 1

Answer:

The question is :-

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

Using the formula :-

${a}^{m} \div {a}^{n} = {a}^{m - n }$

the solution is below :-

$\frac{ {( \frac{ - 2}{5} )}^{7} }{ {( \frac{ - 2}{5} )}^{5} } \\ { (\frac{ - 2}{5}) }^{7 - 5} \\ { (\frac{ - 2}{5}) }^{2} \\ \frac{4}{25}$

So, the answer is:-

$\frac{4}{25}$

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