Advertisements
Advertisements
प्रश्न
Simplify the following and express with positive index :
`(3^-4/2^-8)^(1/4)`
Advertisements
उत्तर
`(3^-4/2^-8)^(1/4)`
= `( 2^8/3^4)^(1/4)`
= `[(2^8)^(1/4)]/[(3^4)^(1/4)]`
= `[2^( 8 xx 1/4 )]/[ 3^( 4 xx 1/4 )]`
= `2^2/3`
= `4/3`
APPEARS IN
संबंधित प्रश्न
Evaluate :
`3^3 xx ( 243 )^(-2/3) xx 9^(-1/3)`
Evaluate:
`5^(-4) xx ( 125)^(5/3) ÷ (25)^(-1/2)`
Evaluate:
`( 27/125 )^(2/3) xx ( 9/25 )^(-3/2)`
Evaluate:
`(16/81 )^(-3/4) xx (49/9)^(3/2) ÷ (343/216)^(2/3)`
Evaluate :
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`
Simplify the following and express with a positive index:
`(32)^(-2/5) ÷ (125)^(-2/3)`
Simplify the following and express with positive index:
`[ 1 - { 1 - ( 1 - n )^-1}^-1]^-1`
Simplify :
`[ 8^3a xx 2^5 xx 2^(2a) ]/[ 4 xx 2^(11a) xx 2^(-2a) ]`
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 )`
Find the value of 10−3.
