Express $(a^{3} b^{- 5})^{- 2}$ in positive exponent form.

Positive

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Negative

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Zero

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Fractional number

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Solution

The correct option is A
Positive

Given : $(a^{3} b^{- 5})^{- 2}$

$\Rightarrow$ $(\frac{a^{3}}{b^{5}})^{- 2}$ [ $a^{- n} = \frac{1}{a^{n}}$ ]

$\Rightarrow$ $(\frac{b^{5}}{a^{3}})^{2}$
$\Rightarrow$ $\frac{b^{10}}{a^{6}}$

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