" (ii) "(5times25^(n+1)-25times5^(2n))/(5times5^(2n+3)-(25)^(n+1))

Simplify the following: (3^(n)x9^(n+1))/(3^(n-1)x9^(n-1)) (ii) (5x25^(n+1)-25x5^(2n))/(5x5^(2n+3)-(25)^(n+1))

(5^(n+3)-6times5^(n+1))/(9times5^(n)-2^(2)times5^(n))

5^(2)times25^(3)times625=(5)^(?)

The value of (5.(25)^(n+1) + 25.(5)^(2n-1))/(25.(5)^(2n) -105(25)^(n-1)) is :

Find n,if 12times^((n-1))P_3=5times^((n+1))P_3

[8^(-2/3)times2^(1/2)times25^(-5/4)]÷[32^(-2/5)times125^(-5/6)] =sqrt2

Simplify: (i) (10xx5^(n+1)+25xx5^n)/(3xx5^(n+2)+10xx5^(n+1)) (ii) ((16)^7xx(25)^5xx(81)^3)/((15)^7xx(24)^5xx(80)^3)

lim_ (n rarr oo) (2.5 ^ (n + 1) -3.7 ^ (n + 1)) / (2.5 ^ (n) + 3.7 ^ (n)) =

Find n if : a. ((4)/(49))^(5)xx((4)/(49))^(n-3)=((2)/(7))^(16) b. ((5)/(7))^(12)xx[((7)/(5))^(2)]^(8)=((7)/(5))^(2n-6) c. ((9)/(25))^(4)xx((9)/(25))^(n)=((3)/(5))^(12) d. ((3)/(5))^(20)xx[((5)/(3))^(3)]^(6)=((3)/(5))^(3n-13)

Simplify each of the following : (i)((16)^(5/(4))xx(8)^(4/(3)))/((25)^(3/(2))xx(243)^(3/(5)))" "(ii)(2^(n)+2^(n-1))/(2^(n+1)-2^(n))