Advertisements
Advertisements
Question
Find the value of `(1/2)^(-2)+(1/3)^(-2)+(1/4)^(-2)`
Sum
Advertisements
Solution
`(1/2)^(-2)+(1/3)^(-2)+(1/4)^(-2)`
= `(2/1)^(2)+(3/1)^(2)+(4/1)^(2)` `(thereforea^(-m)=1/a^m)`
= 22 + 32 + 42
= 4 + 9 + 16
= 29
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Evaluate.
3−2
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:
(5−1 × 2−1) ÷ 6−1
Simplify:
\[\left( 4^{- 1} \times 3^{- 1} \right)^2\]
Simplify:
\[\left[ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right] \div \left( \frac{1}{4} \right)^{- 3}\]
For any two rational numbers a and b, a5 × b5 is equal to
For a non-zero rational number a, a7 ÷ a12 is equal to
Find the value of (2−1 × 4−1) ÷2−2.
Find the multiplicative inverse of the following.
10– 100
The multiplicative inverse of `(3/2)^2` is not equal to `(2/3)^-2`.
