((0.3)^(1/3)((1)/(27))^(1/4)(9)^(1/6)(0.81)^(2/3))/((0.9)^(2/3)(3)^(-1/2)(243)^(-1/4))

Solve the followings : The value of the expression ((0.3)^(1//3).(1/27)^(1//4) . (9)^(1//6).(0.81)^(2//3))/((0.9)^(2//3) . (3)^(-1//2) . (1/3)^(-2). (243)^(-1//4)) is :

{(81)^(-3/4)xx((16)^(1/4))/(6^(-2))xx(1/27)^(-4/3)}^(1/3)=

((16)^((1)/(4)))/((27)^((1)/(3)))+((625)^((1)/(4)))/((81)^((1)/(4)))-(1)/((243)^((1)/(5)))=2

3^((1)/(9)).9^((1)/(27)).27^((1)/(81)).81^((1)/(243))….oo=

(1)/(3)-(1)/(2).(1)/(9)+(1)/(3).(1)/(27)-(1)/(4).(1)/(81)+….oo=

(1)/(3)-(1)/(2).(1)/(9)+(1)/(3).(1)/(27)-(1)/(4).(1)/(81)+….oo=

9^(3/2)+3xx4^(0)-((1)/(81))^(-1/2)

Find the value of (9^(3//2)-3xx5^(0)-[(1)/(81)]^(-1//2))/(((64)/(125))^(-2//3)+(1)/(((256)/(625))^(1//4))+((sqrt(25))/(root(3)(64)))) .

(1) (4)/((216)^((2)/(3)))+(1)/((256)^((3)/(4)))+(2)/((243)^((1)/(5))) (ii) ((64)/(125))^((2)/(3))+((256)/(625))^((1)/(4))+((3)/(7))^(0) (iii) ((81)/(16))^((3)/(4))(((25)/(9))^((3)/(2))-:((5)/(2))^(-3)) (iv) ((25)^((5)/(2))times(729)^((1)/(3)))/((125)^((2)/(3))times(27)^((2)/(3))times8^((4)/(3)))