Advertisements
Advertisements
Question
Evaluate.
`{(1/3)^(-1) - (1/4)^(-1)}^(-1)`
Evaluate
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
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find the value of the following:
(5−1 × 2−1) ÷ 6−1
Evaluate:
5−2
Express the following rational numbers with a negative exponent:
\[\left( \frac{3}{5} \right)^4\]
Express the following rational numbers with a positive exponent:
\[\left( \frac{5}{4} \right)^{- 3}\]
if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x−2.
Square of \[\left( \frac{- 2}{3} \right)\] is
Find the multiplicative inverse of the following.
10– 5
Expand the following numbers using exponents.
1256.249
The multiplicative inverse of `(- 5/9)^-99` is ______.
Simplify and express the result in power notation with positive exponent.
2−3 × (−7)−3
