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 :
`( 8x^3 ÷ 125y^3 )^(2/3)`
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`
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`
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 )`
If a = xm + n. yl ; b = xn + l. ym and c = xl + m. yn,
Prove that : am - n. bn - l. cl - m = 1
Find the value of 46 × 4−4.
