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:
`7^0 xx (25)^(-3/2) - 5^(-3)`
Simplify :
`( a + b )^(-1) . ( a^(-1) + b^(-1) )`
Simplify:
`[ 5^( n + 3 ) - 6 xx 5^( n + 1 )]/[ 9 xx 5^n - 5^n xx 2^2 ]`
Evaluate :
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`
Evaluate:
`(27/8)^(2/3) - (1/4)^-2 + 5^0`
Simplify the following and express with positive index :
`([27^-3]/[9^-3])^(1/5)`
Simplify the following and express with positive index:
`[ 1 - { 1 - ( 1 - n )^-1}^-1]^-1`
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.
Find the value of 46 × 4−4.
