Advertisements
Advertisements
Question
Find the value of the following:
3−1 + 4−1
Sum
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`
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
Evaluate.
`(5/8)^(-7) xx (8/5)^(-4)`
Simplify:
\[\left( 2^2 + 3^2 - 4^2 \right) \div \left( \frac{3}{2} \right)^2\]
Express the following rational numbers with a negative exponent:
\[3^5\]
Express the following rational numbers with a positive exponent:
\[\left( \frac{5}{4} \right)^{- 3}\]
Find x, if
\[\left( \frac{- 1}{2} \right)^{- 19} \times \left( \frac{- 1}{2} \right)^8 = \left( \frac{- 1}{2} \right)^{- 2x + 1}\]
Find x, if
\[\left( \frac{2}{5} \right)^{- 3} \times \left( \frac{2}{5} \right)^{15} = \left( \frac{2}{5} \right)^{2 + 3x}\]
Which of the following is not equal to \[\left( \frac{- 3}{5} \right)^4 ?\]
Find the value of (30 + 4−1) × 22.
Expand the following numbers using exponents.
1025.63
The multiplicative inverse of 10–100 is ______.
