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(5sqrt((3125)/(243)))^(-1)=...

`(5sqrt((3125)/(243)))^(-1)=`_____

A

`-(3)/(5)`

B

`(3)/(5)`

C

`(5)/(3)`

D

`(-5)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B

`(5sqrt((3125)/(243)))^(-1)=5sqrt((243)/(3125))=((3^5)/(5^5))^((1)/(5))=(3)/(5)`
Hence the correct option is (b).
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