`((64)/(27))^((2)/(3))times((9)/(16))^((3)/(2))times((81)/(256))^((3)/(4))=((3)/(4))^(x)` then `x=`

((81)/(16))^((-3)/(4))times((25)/(9))^((-3)/(2))

{((216)/(64))^((2)/(3))*(((256)/(81))^(-(1)/(4)))/(((16)/(144))^(-(1)/(2)))}^((1)/(2))

Evaluale (((9)/(4))^((-3)/(2))times((125)/(27))^((-2)/(3))times((3)/(5))^(-3))/((sqrt(2))^(4))

(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)))

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)]

find x:((3)/(4))^(6)xx((16)/(9))^(5)=((3)/(4))^(x+2)

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