If $10^{4 x} = 625$ then find the value of $10^{- x}$ .

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Solution

Now, given
$10^{4 x} = 625$
or, $(10^{x})^{4} = 5^{4}$
or, $10^{x} = 5$
or, $10^{- x} = \frac{1}{5}$

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