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4times81^((-1)/(2))(81^((1)/(2))+81^((3)...

4times81^((-1)/(2))(81^((1)/(2))+81^((3)/(2)))

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(i) 81^(1/2)

4xx81^(-1/2)xx(81^(1/2)+81^(3/2))

((81)^(-2))^(1/4)=

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

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

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

Simplify: ((6.25)^((1)/(2))xx(0.0144)^((1)/(2))+1)/((0.027)^((1)/(3))xx(81)^((1)/(4)))

Solve for x : (81)^((3)/(4))-((1)/(32))^(-(2)/(5))+x((1)/(2))^(-1).2^(0) = 27