Question

Express
(-4/5)^-4 in form of p/q​

Answer 1

$\textbf{\huge\underline{\underline\red{solution} : - }} \\ \\ \tt \purple{ = > \: \: {( - \frac{ 4}{5} )}^{ - 4} = \frac{ { - 4}^{ - 4} }{ { - 5}^{ - 4} } } \\ \\ \\ \\ \tt \huge\purple{ = \: \: \frac{ \frac{1}{ {( - 4)}^{4} } }{ \frac{1}{ {( - 5)}^{4} } } \: \: } \\ \\ \\ \\ \tt \purple{= \frac{1}{ { (- 4)}^{4} } \times \frac{ {( - 5)}^{4} }{ 1 } } \\ \\ \tt \purple{= \frac{ {( - 5)}^{4} }{ {( - 4)}^{4} } = \red{\frac{625}{256} }} \\ \\ \\ \\ \tt{answer \: is \: \: \: \: \: \red{ \frac{625}{256} }} \\ \\ \\ \\ \fcolorbox{red}{aqua}{i \: hope \: it \: helps \: you.}$