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

Find x , if (8/3)^(2x+1)x(8/3)^5=(8/3)^(x+2)

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))

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

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)

Evaluate : (iv) (3)/(8)+(-5)/(12)+(3)/(7)+(3)/(12)+(-5)/(8)+(-2)/(7)

Find n such that (2/3)^3xx(2/3)^5=(2/3)^n^(-2) ((125)/8)^5xx((125)/8)^n=(5/2)^(18)

Evaluate : ((27)/(8))^((2)/(3))-((1)/(4))^(-2)+5^(0)

Find : 3/4+\ ((-3)/5)+((-2)/3)+5/8+\ ((-4)/(15))

Evaluate : 9^((5)/(2)) - 3xx8^(0)-((1)/(81))^(-(1)/(2))