Advertisements
Advertisements
प्रश्न
`[(3/7)^-3]^4` = ______
विकल्प
`(3/7)^-7`
`(3/7)^-10`
`(7/3)^12`
`(3/7)^20`
Advertisements
उत्तर
`[(3/7)^-3]^4 = bbunderline((7/3)^12)`
Explanation:
`[(3/7)^-3]^4 = (3/7)^(-3(4))` ...[∵ (am)n = amn]
`= (3/7)^-12`
`= (7/3)^12` ....`[∵ (a)^-"n" = 1/"a"^"n"]`
संबंधित प्रश्न
Evaluate:
`(16/81 )^(-3/4) xx (49/9)^(3/2) ÷ (343/216)^(2/3)`
Simplify :
`( 8x^3 ÷ 125y^3 )^(2/3)`
Simplify :
`( 3x^2 )^(-3) xx ( x^9 )^(2/3)`
Evaluate :
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`
Simplify the following and express with positive index :
`(3^-4/2^-8)^(1/4)`
Simplify:
`[ 3 xx 27^( n + 1 ) + 9 xx 3^(3n - 1 )]/[ 8 xx 3^(3n) - 5 xx 27^n ]`
Show that :
`( a^m/a^-n)^( m - n ) xx (a^n/a^-l)^( n - l) xx (a^l/a^-m)^( l - m ) = 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 )`
Evaluate the following: `(3^2)^2`
Find the value of 46 × 4−4.
