Advertisements
Advertisements
प्रश्न
Simplify :
`( 8x^3 ÷ 125y^3 )^(2/3)`
Advertisements
उत्तर
`( 8x^3 ÷ 125y^3 )^(2/3)`
= `([ 2x xx 2x xx 2x ]/[5y xx 5y xx 5y ])^(2/3)`
= `[((2x)/(5y))^3]^(2/3)`
= `((2x)/(5y))^( 3 xx 2/3 )`
= `((2x)/(5y))^2`
= `[ (2x)/(5y) xx (2x)/(5y) ]`
= `[4x^2]/[25y^2]`
APPEARS IN
संबंधित प्रश्न
Evaluate:
`5^(-4) xx ( 125)^(5/3) ÷ (25)^(-1/2)`
Evaluate:
`( 27/125 )^(2/3) xx ( 9/25 )^(-3/2)`
Simplify :
`( a + b )^(-1) . ( a^(-1) + b^(-1) )`
Simplify :
`( 3x^2 )^(-3) xx ( x^9 )^(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 :
`(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:
`[ 3 xx 27^( n + 1 ) + 9 xx 3^(3n - 1 )]/[ 8 xx 3^(3n) - 5 xx 27^n ]`
