Question

$please \: do \: fast$
​

Answer 1

$\red{ (\frac{ - 3}{5} {)}^{ - 4} } \times ( \frac{ - 2}{5} {)}^{2}$

$\tt express \: with \: a \: positive \: \orange {\underline {exponent}} \\ \tt using {( \frac{a}{b} )}^{ - n} = { (\frac{b}{a} )}^{n}$

$\red{ (\frac{ 5}{ - 3} {)}^{ - 4} } \times ( \frac{ - 2}{5} {)}^{2}$

$\tt to \: raise \: the \: \: \orange {\underline {fraction}} \: to \: a \: \orange {\underline {power}}, \\ \tt raise \: the \: \orange {\underline {numerator}} \: and \: \orange {\underline {denominator}} \\ \tt to \: that \: power$

$(\frac{ 5}{ - 3} {)^{ - 4} } \times \red{ ( \frac{ 4}{25} ) }$

$\red{\frac{ 625}{ 80} \times \frac{ 4}{25} }$

$\tt reduce \: the \: no. \: with \: the \\ \tt \orange {\underline {greatest \: common \: factor}}25$

$\frac{ \cancel \red{625}}{ 80} \times \frac{ 4}{ \cancel \red{ 25} }$

$\frac{ \red{ 25}}{81} \times 4$

$\tt calculate \: the \: \orange {\underline {product}}$

$\red{ \frac{100}{81} }$

$\tt \red{ solution}$

$\frac{100}{81}$

$\tt \red{ alternate \: form}$

$1 \times \frac{19}{81} ,1. \dot 23456790 \dot 1,( \frac{10}{9} {)}^{2}$