Question

Solve the following
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Answer 1

Answer:

Step-by-step explanation:

We know that $a^{m}$ × $a^{2}$ = $a^{m+n}$  &  $a^{m}$ ÷ $a^{n}$ = $a^{m-n}$

So, $(\frac{2}{5} )^{4}$ × $(\frac{2}{5})^{5}$ ÷ $(\frac{2}{5} )^{3}$

     $(\frac{2}{5} )^{4+5}$ ÷ $(\frac{2}{5}) ^{3}$

     $(\frac{2}{5})^{9}$ ÷ $(\frac{2}{5}) ^{3}$

     $(\frac{2}{5}) ^{9-3}$

    ∴$(\frac{2}{5}) ^{6}$ = $\frac{64}{15625}$

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