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(6sqrt((64)/(125)))^(-2)=...

`(6sqrt((64)/(125)))^(-2)=`________

A

`(5)/(16)`

B

`(4)/(5)`

C

`(5)/(4)`

D

`(16)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(6sqrt((64)/125))^(-2)=[((64)/125)^((1)/(6))]^(-2)=((64)/125)^(-(1)/3)=((5^3)/4^3)^((1)/(3))=(5)/(4)`
Hence the correct option is (c).
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