[" 7.Simplify the following: "],[" (i) "(3^(n)times9^(n+1))/(3^(n-1)times9^(n-1))]

(3^nxx9^(n+1))/(3^(n-1)xx9^(n-1))

Simplify the following: (i)\ (3^n\ xx\ 9^(n+1))/(3^(n-1)\ xx\ 9^(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))

(3xx9^(n+1)-9xx3^(2n))/(3xx3^(2n+3)-9^(n+1))

Simplify the following: (i)\ (5^(n+3)-\ 6\ xx\ 5^(n+1))/(9\ xx\ 5^n-2^2\ xx\ 5^n) (ii)\ (6(8)^(n+1)+\ 16(2)^(3n-2))/(10(2)^(3n+1)-7\ (8)^n)

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

Simplify the following: (5^(n+3)-6x5^(n+1))/(9x5^(x)-2^(2)x5^(n))( ii) (6(8)^(n+1)+16(2)^(3n-2))/(10(2)^(3n+1)-7(8)^(n))