Advertisements
Advertisements
प्रश्न
Simplify :
`( a + b )^(-1) . ( a^(-1) + b^(-1) )`
Advertisements
उत्तर
`( a + b )^(-1) . ( a^(-1) + b^(-1) )`
= `1/( a + b ) xx ( 1/a + 1/b )`
= `1/( a + b ) xx ([ b + a ]/[ ab ] )`
= `1/( a + b ) xx ( a + b )/(ab)`
= `1/(ab)`
APPEARS IN
संबंधित प्रश्न
Evaluate:
`5^(-4) xx ( 125)^(5/3) ÷ (25)^(-1/2)`
Simplify :
`( 8x^3 ÷ 125y^3 )^(2/3)`
Simplify:
`[ 5^( n + 3 ) - 6 xx 5^( n + 1 )]/[ 9 xx 5^n - 5^n xx 2^2 ]`
Simplify :
`( 3x^2 )^(-3) xx ( x^9 )^(2/3)`
Simplify the following and express with positive index :
`([27^-3]/[9^-3])^(1/5)`
If 2160 = 2a. 3b. 5c, find a, b and c. Hence calculate the value of 3a x 2-b x 5-c.
If 1960 = 2a. 5b. 7c, calculate the value of 2-a. 7b. 5-c.
Simplify:
`( x^a/x^b)^( a^2 + ab + b^2 ) xx (x^b/x^c)^(b^2 + bc + c^2) xx (x^c/x^a)^( c^2 + ca + a^2 )`
Evaluate the following: `(3^2)^2`
`[(3/7)^-3]^4` = ______
