Advertisements
Advertisements
प्रश्न
Simplify :
`( a + b )^(-1) . ( a^(-1) + b^(-1) )`
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)`
Evaluate:
`(27/8)^(2/3) - (1/4)^-2 + 5^0`
Simplify the following and express with positive index :
`(3^-4/2^-8)^(1/4)`
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.
Show that :
`( a^m/a^-n)^( m - n ) xx (a^n/a^-l)^( n - l) xx (a^l/a^-m)^( l - m ) = 1`
Find the value of 10−3.
Find the value of (23)2.