Simplify : `(81/16)^(-3/4) xx [(25/9)^(-3/2) -: (5/2)^(-3)`

Simplify: ((81)/(16))^(-(3)/(4))x[((25)/(9))^(-(3)/(2))-:((5)/(2))^(-3)]

Simplify : ((-2)/(3))^(-2) xx ((4)/(5))^(-3)

Simplify : (2/3)^2 xx (4/9)^2 xx (2/3)^(-4)

Simplify: : 1/2 xx 3/4 xx 8/9

Simplify : ((25)/(9))^(-(3)/(2))xx((2)/(5))^(-3)

Prove that ((81)/(16))^(-(4)/(4))xx{((25)/(9))^(-(3)/(2))-:((5)/(2))^(-3)}=1

(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)))

prove that ((81)/(16))^(-(4)/(4))*{((25)/(9))^(-(3)/(2))-:((5)/(2))^(-3)}=1

prove that ((81)/(16))^(-(4)/(4))*{((25)/(9))^(-(3)/(2))+((5)/(2))^(-3)}=1