Advertisements
Advertisements
Question
Evaluate.
`{(1/3)^(-1) - (1/4)^(-1)}^(-1)`
Advertisements
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
APPEARS IN
RELATED QUESTIONS
Simplify and express the result in power notation with positive exponent.
(−4)5 ÷ (−4)8
Simplify and express the result in power notation with positive exponent.
`(1/2^3)^2`
Find the value of `{((-2)/3)^(-2)}^2`
Find the value of the following:
\[\left( \frac{1}{2} \right)^{- 1} + \left( \frac{1}{3} \right)^{- 1} + \left( \frac{1}{4} \right)^{- 1}\]
By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1?
Express the following rational numbers with a positive exponent:
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
Find x, if
Find the multiplicative inverse of the following.
2– 4
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
