`(2^8xxa^5xxb^2)/(2^3xxa^4xxb^6)`=

(a^4xxb^5xxc^7)/(c^8xxa^4xxb^3)

(5^-3xxa^3xxc^4)/(5^2xxa^-4xxc^3)

Simplify and write each of the following in exponential from: (i) (2^8xxa^5)/(4^3xxa^3) (ii) (2^3xx3^4xx4)/(3xx32)

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 and express each of the following in exponential from: (i) ((3^7)/(3^2))xx3^5 (ii) (4^5xxa^8b^3)/(4^5xxa^5b^2)

a^7xxa^4xxa^-6xxa^0

a^3xxb^3 and a^nxxb^nxxc^nxxd^n

Find a, if ((3^(5))^(2)xxa^(3))/(3^(8)xxa^(2))=(9)/(8)

Simplify and express each of the following in exponential from: (i) {(2^2)^3xx3^6}xx5^6 (ii) (a/b)^5xxb^(10)

Simplify: (i) 2^(55)xx2^(60)-2^(97)xx2^(18) (ii) 2^3xxa^3xx5a^4 , (iii) (3^n+3^(n+1))/(3^(n+1)-3^n), Where n is a natural numbers.