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

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

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

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 write the answer in exponential form. a. (4^(3)xx10^(5))/(2^(3)xx5^(4)) b. ((6^(4))^(4)xx5^(8)xxa^(6))/(9^(9)xx10^(6)) c. (15^(32)xx12^(15)xx54^(4))/(25^(12)xx18^(8)xx9^(2)) d. (8^(4)xx6^(4))/(2^(8)xx3^(3)) e. (8^(12)xx(9^(2))^(5)xx5^(6))/(6^(9)xx15^(4)) f. (21^(16)xx70^(8)xx36^(15))/(49^(4)xx15^(5)xx24^(6))

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)

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

Which of the following is not equal to ((-3)/5)^4? (a) ((-3)^4)/(5^4) (b) (3^4)/((-5)^4) (c) -(3^4)/(5^4) (d) (-3)/5xx(-3)/5xx(-3)/5xx(-3)/5

Simplify and write in exponential form : a. [(2^(3))^(3)xx4^(5)]-:5^(5) b. (10xx4^(4)xx3^(3))/(6^(3)xx2^(5)xx15)

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.