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The value of $ \frac{5}{(121)^{-1 / 2}} $ is
(a) $-55$
(b) $ \frac{1}{55} $
(c) $ -\frac{1}{55} $
$ (d) 55 $
Given:
\( \frac{5}{(121)^{-1 / 2}} \)
To do:
We have to find the value of \( \frac{5}{(121)^{-1 / 2}} \).
Solution:
We know that,
$a^{-m}=\frac{1}{a^m}$
Therefore,
$\frac{5}{(121)^{-1 / 2}}=5\times\frac{1}{(121)^{\frac{-1}{2}}}$
$=5\times(121)^{\frac{1}{2}}$
$=5\times\sqrt{121}$
$=5\times11$
$=55$
Option (d) is the correct answer.
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