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Simplify ((125)/(216))^((2)/(3))xx((36)/...

Simplify `((125)/(216))^((2)/(3))xx((36)/(5))^(+2)div((25)/(6))^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
`5^(4)`
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(216)^(4)div(36)^(4)xx(6)^(5)=(6)^(?)

(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)))