Solve

Guides

0

You visited us 0 times! Enjoying our articles? Unlock Full Access!

Exponential Representation for Irrational Numbers

Question

Evaluate : $4 \sqrt{{(81)}^{- 2}}$

Open in App

Solution

Verified by Toppr

$\sqrt[4]{(81)^{- 2}} = 81^{2 \times \frac{1}{4}}$
$= 81^{- \frac{1}{2}} = (\sqrt{81})^{- 1} = 9^{- 1}$
$= \frac{1}{9}$ .

Was this answer helpful?

106

Similar Questions

Q1

Evaluate :

4 \sqrt{{(81)}^{- 2}}

View Solution

Q2

Evaluate

{(\frac{16}{81})}^{- \frac{3}{4}} \times {(\frac{49}{9})}^{\frac{3}{2}} + {(\frac{343}{216})}^{\frac{2}{3}}

View Solution

Q3

Evaluate:

{(\frac{16}{81})}^{- \frac{3}{4}} \times {(\frac{49}{9})}^{\frac{3}{2}} \div {(\frac{343}{216})}^{\frac{2}{3}}

View Solution

Q4

Evaluate:
(i) (25)^3/2
(ii) (32)^2/5
(iii) (81)^3/4

View Solution

Q5

Evaluate

{[\frac{256}{81}]}^{3 / 4}

View Solution