Advertisements
Advertisements
प्रश्न
When simplified \[( x^{- 1} + y^{- 1} )^{- 1}\] is equal to
विकल्प
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
Simplify the following:
`(5^(n+3)-6xx5^(n+1))/(9xx5^x-2^2xx5^n)`
Assuming that x, y, z are positive real numbers, simplify the following:
`root5(243x^10y^5z^10)`
Prove that:
`(64/125)^(-2/3)+1/(256/625)^(1/4)+(sqrt25/root3 64)=65/16`
Show that:
`(3^a/3^b)^(a+b)(3^b/3^c)^(b+c)(3^c/3^a)^(c+a)=1`
Solve the following equation:
`3^(x+1)=27xx3^4`
The value of \[\left\{ \left( 23 + 2^2 \right)^{2/3} + (140 - 19 )^{1/2} \right\}^2 ,\] is
If \[2^{- m} \times \frac{1}{2^m} = \frac{1}{4},\] then \[\frac{1}{14}\left\{ ( 4^m )^{1/2} + \left( \frac{1}{5^m} \right)^{- 1} \right\}\] is equal to
If \[\frac{2^{m + n}}{2^{n - m}} = 16\], \[\frac{3^p}{3^n} = 81\] and \[a = 2^{1/10}\],than \[\frac{a^{2m + n - p}}{( a^{m - 2n + 2p} )^{- 1}} =\]
If 10x = 64, what is the value of \[{10}^\frac{x}{2} + 1 ?\]
The positive square root of \[7 + \sqrt{48}\] is
