Solve: `((3/5)^3xx(1/7)^3)/((3/5)^2xx(1/7)^4)`

Simplify and write the in the exponential form: ((3^(2))^(3)xx7^(3)xx7^(6))/(2^(3)xx7^(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)

Express the following product as a monomial : (x^3)xx(7x^5)xx(1/5x^2)xx(-6x^4)

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 : ((-3)/2xx4/5)+(9/5xx(-10)/3)-(1/2xx3/4)

Simplify and write the in the exponential form: ((-3)^(3)xx7^(4)xx7)/(3^(2)xx7^(2))

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)

Find 2(1)/(5)xx3(2)/(7) .

Simplify and write the in the exponential form: (2^(4)xx2xx7^(3)xx7^(6))/(2^(3)xx7^(4))

Simplify: ((13)/9xx(-15)/2)+\ (7/3xx8/5)+(3/5xx1/2)