By what number should $(- 25)^{- 1}$ be divided so that the quotient may be $5^{- 1}$ ?

\frac{- 1}{5}

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\frac{1}{5}

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\frac{1}{25}

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\frac{- 1}{25}

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Solution

The correct option is A $\frac{- 1}{5}$
$\frac{{(- 25)}^{1}}{x} = 5^{- 1}$
$x = \frac{{(- 25)}^{- 1}}{5^{- 1}} = \frac{- 1 / 25}{1 / 5} = \frac{- 1}{5}$

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