Advertisements
Advertisements
Question
Evaluate.
`{(1/3)^(-1) - (1/4)^(-1)}^(-1)`
Evaluate
Solution
`{(1/3)^(-1) - (1/4)^(-1)}^(-1) = {(3/1)^1 - (4/1)}^(-1)` ...`[∵ (a/b)^-m = (b/a)^m]`
= (3 − 4)−1
= (−1)−1
= `1/(-1)`
= −1
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find the value of `{((-2)/3)^(-2)}^2`
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
2−3
Find the value of the following:
(30 + 4−1) × 22
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
Express the following as a rational number in the form \[\frac{p}{q}:\]
\[( - 4 )^{- 1} \times \left( \frac{- 3}{2} \right)^{- 1}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
\[\left( \frac{3}{5} \right)^{- 1} \times \left( \frac{5}{2} \right)^{- 1}\]
Express the following rational numbers with a negative exponent:
\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 3}\]
Simplify:
\[\left\{ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right\} \div \left( \frac{1}{4} \right)^{- 3}\]
Find x, if
\[\left( \frac{5}{4} \right)^{- x} \div \left( \frac{5}{4} \right)^{- 4} = \left( \frac{5}{4} \right)^5\]
Find the value of x for which 52x ÷ 5−3 = 55.
