Advertisements
Advertisements
Question
Find the value of the following:
3−1 + 4−1
Advertisements
Solution
We know from the property of powers that for every natural number a, a−1 = 1/a. Then:
`3^(-1)+4^(-1)=1/3+1/4` `->(a^(-1)=1/a)`
=`(4+3)/12`
`=7/12`
APPEARS IN
RELATED QUESTIONS
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0. (−4)−2
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Find the value of the following:
Simplify:
\[\left( 3^{- 1} \times 4^{- 1} \right)^{- 1} \times 5^{- 1}\]
Simplify:
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Find x, if
\[\left( \frac{- 1}{2} \right)^{- 19} \times \left( \frac{- 1}{2} \right)^8 = \left( \frac{- 1}{2} \right)^{- 2x + 1}\]
Evaluate.
`(8^(-1)xx5^(3))/2^(-4)`
The multiplicative inverse of (– 4)–2 is (4)–2.
Express 16–2 as a power with the base 2.
