Advertisements
Advertisements
Question
Find the value of the following:
\[\left( \frac{1}{2} \right)^{- 1} + \left( \frac{1}{3} \right)^{- 1} + \left( \frac{1}{4} \right)^{- 1}\]
Sum
Advertisements
Solution
\[\left( \frac{1}{2} \right)^{- 1} + \left( \frac{1}{3} \right)^{- 1} + \left( \frac{1}{4} \right)^{- 1} = \frac{1}{1/2} + \frac{1}{1/3} + \frac{1}{1/4}\] → (a−1 = 1/a)
=2+3+4
=12
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
Evaluate.
`(5/8)^(-7) xx (8/5)^(-4)`
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
\[\left( \frac{1}{2} \right)^{- 5}\]
Find the value of the following:
\[\left( \frac{1}{2} \right)^{- 2} + \left( \frac{1}{3} \right)^{- 2} + \left( \frac{1}{4} \right)^{- 2}\]
Simplify:
\[\left[ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right] \div \left( \frac{1}{4} \right)^{- 3}\]
Simplify:
\[\left\{ 5^{- 1} \div 6^{- 1} \right\}^3\]
Simplify:
\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( \frac{- 4}{7} \right)^{- 1} ?\]
\[\left( \frac{2}{3} \right)^{- 5}\] is equal to
Expand the following numbers using exponents.
1256.249
Simplify and express the result in power notation with positive exponent.
(3−7 ÷ 3−10) × 3−5
