Evaluate: (5 6 )^ 6 (5 6 )^ -4 - Vidyadip

Question

Evaluate:
$\Big(\frac{5}{6}\Big)^{6}\times\Big(\frac{5}{6}\Big)^{-4}$

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Answer

$\Big(\frac{5}{6}\Big)^{6}\times\Big(\frac{5}{6}\Big)^{-4}$
$=\Big(\frac{5}{6}\Big)^{6-4}$
$=\Big(\frac{5}{6}\Big)^{2}$
$=\frac{5}{6}\times\frac{5}{6}$
$=\frac{25}{36}$

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