Simplify : `(5^(n+3)-6xx5^(n+1))/(9xx5^(n)-5^(n)xx2^(2))`

Simplify : (5^(n+4)-6xx5^(n+2))/(9xx5^(n+1)-5^(n+1)xx4)

Simplify : (8^(3a)xx2^(5)xx2^(2a))/(8xx3^(3n)-5xx27^(n))

Simplify : (3xx27^(n+1)+9xx3^(3n-1))/(8xx3^(3n)-5xx27^(n))

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

Simiplify : (16xx2^(n+1)-4xx2^(n))/(16xx2^(n+2)-2xx2^(n+1))

Simplify : (-5\ xx2/(15))(6\ xx2/9)

Simplify : a. 15^(7)-:5^(3) b. ((5^(4))^(3)xx2^(12))/(3^(12)) c. ((4^(3))^(2)xx5^(6))/(10^(6)) d. (2xx3^(4)xx2^(5))/(9xx4^(2)) e. (2^(2)xx3^(4)xx16)/(3^(2)xx32) f. (4^(5)xxa^(8)xxb^(16))/(4^(4)xxa^(7)xxb^(4))

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)

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 the value of n : (2^(3)xx5^(n+1)xx10^(2)xx5^(n-1))/(125xx5^(n-2)xx2^(7))=(25)/(4)