Simplify :
(a) `((5)/(3))^(3)times((3)/(5))^(2)`
(b) `[((2)/(9))^(0)]^(5)`
(c) `[((3)/(4))^(2)]^(4)`
(d) `(-3)^(5)times(-3)^(5)`

((2)/(3))^(4)times((3)/(2))^(5)times((5)/(3))^(-2)times((3)/(5))^(-3)

Simplify : b. (5)/(9) div ((3)/(10) xx (5)/(12))

Simplify : a. (-2)^(3)xx(-3)^(3) b. 5^(2)xx10^(5)

Simplify : c. (3)/(5) of ((1)/(15) xx 3 (2)/(5))

Simplify: (i)   (-3)^2xx((-5)/(12))^2 (ii) ((-2)/5)^3-:((-3)/(10))^4

Simplify: (i) (-2)xx(-3)^3 (ii) (-3)^2xx(-5)^3 (iii) (-2)^5xx(-10)^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)

Simplify : ((-9)/4xx5/3)+\ ((13)/2xx5/6)

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

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