Question

i need an answer for this​

Answer 1

${ (\frac{2}{5} )}^{ - 2} \div {( \frac{2}{5} )}^{ - x} = { (\frac{5}{2} )}^{7} \\ \\ {( \frac{2}{5} )}^{ - 2} = { (\frac{2}{5} )}^{ - 7} \times {( \frac{2}{5} )}^{ - x} \\ \\ {( \frac{2}{5}) }^{ - 2} = { (\frac{2}{5} )}^{( - 7 - x)} \\ \\ - 2 = - 7 - x \\ \\ x = - 7 + 2 \\ \\ x = - 5$