Evaluate:

(a) $ \left(8^{0}+5^{-1}\right) \times\left(\frac{1}{5}\right)^{-2} $

Given:

\( \left(8^{0}+5^{-1}\right) \times\left(\frac{1}{5}\right)^{-2} \)

To do:

We have to simplify the given expression.

 Solution:

$(8^0+5^{-1})\times(\frac{1}{5})^{-2}=(1+\frac{1}{5})\times(5)^2$ ($a^0=1, (\frac{a}{b})^{-k}=(\frac{b}{a})^k$)

$=(\frac{1\times5+1}{5})\times25$

$=(\frac{6}{5})\times25$

$=6\times5$

$=30$

Therefore,

$(8^0+5^{-1})\times(\frac{1}{5})^{-2}=(1+\frac{1}{5})\times(5)^2=30$.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

25 Views

Kickstart Your Career

Get certified by completing the course

Get Started