Question
Evaluate:
$\Big(\frac{-3}{5}\Big)^{-4}\times\Big(\frac{-2}{5}\Big)^{2}$
$\Big(\frac{-3}{5}\Big)^{-4}\times\Big(\frac{-2}{5}\Big)^{2}$
✓
Answer
$\Big(\frac{-3}{5}\Big)^{-4}\times\Big(\frac{-2}{5}\Big)^{2}$$=\Big(\frac{5}{-3}\Big)^{4}\times\Big(\frac{-2}{5}\Big)^{2}$
$=\frac{5^4}{-3^4}\times\frac{-2^2}{5^2}$
$=5^{(4-2)}\times\frac{-2^2}{-3^4}$
$=5^2\times\frac{-2^2}{-3^4}$
$=25\times\frac{4}{81}$
$=\frac{100}{81}$
$=\frac{5^4}{-3^4}\times\frac{-2^2}{5^2}$
$=5^{(4-2)}\times\frac{-2^2}{-3^4}$
$=5^2\times\frac{-2^2}{-3^4}$
$=25\times\frac{4}{81}$
$=\frac{100}{81}$
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