Question

plz help me ushkgbdesasdwadsdwa

Answer 1

Step-by-step explanation:

$x = { (\frac{4}{5}) }^{2} \times { (\frac{5}{4} )}^{ - 4} \\ = {( \frac{4}{5} )}^{2} \times \frac{ {5}^{ - 4} }{ {4}^{ - 4} } \\ = \frac{ {4}^{2} }{{5}^{2} } \times \frac{ {5}^{ - 4} }{ {4}^{ - 4} } \\ = { {4}^{2 - ( - 4)}} \times {5}^{ - 4 - 2} \\ = {4}^{6} \times {5}^{ - 6} \\ x = \frac{ {4}^{6} }{ {5}^{6} } \\ \\ now \: {x}^{ - 3} = \frac{1}{ {x}^{ 3} } = \frac{1}{ \frac{ {4}^{6} }{ {5}^{6} }^{3} } = \frac{ {5}^{6 \times 3} }{ {4}^{6 \times 3} } = \frac{ {5}^{18} }{ {4}^{18} }$