Question

simplify and write exponential form with positive integar

Answer 1

The posted image is very poor...I am doing what I understood the question to be.
${( \frac{4}{5}) }^{2} \times {5}^{ - 4} \times {( \frac{2}{5} )}^{ - 2} \div { (\frac{5}{2}) }^{ - 3}$

$= \frac{ {4}^{2} }{ {5}^{2} } \times {5}^{ - 4} \times \frac{ {5}^{2} }{ {2}^{2} } \times \frac{ {5}^{3} }{ {2}^{3} }$


$= \frac{ {2}^{4} }{ {5}^{2} } \times \frac{1}{ {5}^{4} } \times \frac{ {5}^{2} }{ {2}^{2} } \times \frac{5 ^{3} }{ {2}^{3} }$


$= \frac{ {2}^{4} \times {5}^{5} }{ {5}^{6} \times {2}^{5} }$
$\frac{1}{2 \times 5}$
$= \frac{1}{10}$


$= (\frac{1}{10} )^{1}$