Find 10^-y

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Q. If \( 10^{2y} = 25 \), find \( 10^{-y} \)
(a) \( -\frac{1}{5} \)    (b) \( \frac{1}{50} \)    (c) \( \frac{1}{625} \)    (d) \( \frac{1}{5} \)

✏️ Solution

\( 10^{2y} = 25 \)

\( (10^y)^2 = 25 \)

\( 10^y = 5 \)

\( 10^{-y} = \frac{1}{10^y} \)

\( = \frac{1}{5} \)

Correct Option: (d) \( \frac{1}{5} \)

\( \boxed{\frac{1}{5}} \)

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