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

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

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

Simplify: 5/8+2/5+3/4

Simplify: (i)\ ((25)^(3/2)\ xx\ (243)^(3/5))/((16)^(5/4)\ xx\ (8)^(4/3))

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

Evaluate : (i) ((2)/(-3)xx(5)/(4))+((5)/(9)xx(3)/(-10))

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

Simplify: (i) (3/4)^2 (ii) ((-2)/3)^4 (iii) ((-4)/5)^5

Simplify : (4xx10^(-2))-(2.5xx10^(-3))