Advertisements
Advertisements
प्रश्न
Simplify:
`[ 3 xx 27^( n + 1 ) + 9 xx 3^(3n - 1 )]/[ 8 xx 3^(3n) - 5 xx 27^n ]`
Advertisements
उत्तर
`[ 3 xx 27^( n + 1 ) + 9 xx 3^(3n - 1 )]/[ 8 xx 3^(3n) - 5 xx 27^n ]`
= `(3xx27^n.27+9xx3^(3n).3^-1)/(8xx(3^3)^n-5xx(3^3)^n)`
= `(27^nxx81+9xx27^n.3^-1)/(8xx27^n-5xx27^n)`
= `(27^n[81+9xx3^-1])/(27^n[8-5])`
= `([81+9xx1/3])/3`
= `[ 81 + 3 ]/3`
= `84/3`
= 28
APPEARS IN
संबंधित प्रश्न
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 ]`
Simplify :
`( 3x^2 )^(-3) xx ( x^9 )^(2/3)`
Simplify the following and express with positive index :
`(3^-4/2^-8)^(1/4)`
Simplify the following and express with positive index :
`([27^-3]/[9^-3])^(1/5)`
If 1960 = 2a. 5b. 7c, calculate the value of 2-a. 7b. 5-c.
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 (23)2.
Find the value of 46 × 4−4.
