(2 3 )^ -5 (5 7 )^ -5 is equal to: - Vidyadip

MCQ

$\Big(\frac{2}{3}\Big)^{-5}\times\Big(\frac{5}{7}\Big)^{-5}$ is equal to:

A
$\Big(\frac{2}{3}\times\frac{5}{7}\Big)^{-10}$
✓
$\Big(\frac{2}{3}\times\frac{5}{7}\Big )^{-5}$
C
$\Big(\frac{2}{3}\times\frac{5}{7}\Big)^{25}$
D
$\Big(\frac{2}{3}\times\frac{5}{7}\Big)^{-25}$

✓

Answer

Correct option: B.

$\Big(\frac{2}{3}\times\frac{5}{7}\Big )^{-5}$

We have:
$\Big(\frac{2}{3}\Big)^{-5}\times\Big(\frac{5}{7}\Big)^{-5}=\Big(\frac{2}{3}\times\frac{5}{7}\Big)^{-5}$

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