Advertisements
Advertisements
Question
Find the value of the following:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]
Advertisements
Solution
We know from the property of powers that for every natural number a, a−1 = 1/a. Then:
`((1/3)^(-1)-(1/4)^(-1))^(-1)=(3-4)^(-1)` `->(a^(-1)=1/a)`
`=(-1)^(-1)`
= -1 → (a−1 = 1/a)
APPEARS IN
RELATED QUESTIONS
Find the value of m for which 5m ÷5−3 = 55.
Find the value of the following:
(3−1 + 4−1 + 5−1)0
Simplify:
By what number should \[\left( \frac{5}{3} \right)^{- 2}\] be multiplied so that the product may be \[\left( \frac{7}{3} \right)^{- 1} ?\]
For a non zero rational number a, (a3)−2 is equal to
The multiplicative inverse of 1010 is ______.
Express 3–5 × 3–4 as a power of 3 with positive exponent.
Simplify and express the result in power notation with positive exponent.
2−3 × (−7)−3
