Advertisements
Advertisements
प्रश्न
When simplified \[( x^{- 1} + y^{- 1} )^{- 1}\] is equal to
पर्याय
xy
x+y
\[\frac{xy}{y + x}\]
\[\frac{x + y}{xy}\]
Advertisements
उत्तर
We have to simplify `(x^-1 + y ^-1)^-1`
So,
` `(x^-1 + y ^-1)^-1 = (1/x +1/y)^-1`
= `1/ (1/x +1/y)`
`= 1/((1xx x) /(1 xx y) + (1xx x) /(1xx y))`
`= 1/(y/(xy) + x/(xy))`
`(x^-1 + y^-1)^-1 = 1/((y+x)/(xy))`
`= (xy)/(y+x)`
The value of ` (x^-1 + y ^-1)^-1` is `(xy)/(y+x)`
APPEARS IN
संबंधित प्रश्न
Find:-
`9^(3/2)`
Simplify the following
`(2x^-2y^3)^3`
Solve the following equation for x:
`4^(2x)=1/32`
Prove that:
`(1/4)^-2-3xx8^(2/3)xx4^0+(9/16)^(-1/2)=16/3`
If `5^(3x)=125` and `10^y=0.001,` find x and y.
The value of m for which \[\left[ \left\{ \left( \frac{1}{7^2} \right)^{- 2} \right\}^{- 1/3} \right]^{1/4} = 7^m ,\] is
The simplest rationalising factor of \[\sqrt[3]{500}\] is
The value of \[\sqrt{3 - 2\sqrt{2}}\] is
If \[\sqrt{13 - a\sqrt{10}} = \sqrt{8} + \sqrt{5}, \text { then a } =\]
Simplify:
`7^(1/2) . 8^(1/2)`
