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.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

35 Views

Kickstart Your Career

Get certified by completing the course

Get Started