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((225)^(0.2)xx(225)^(0.3))/((225)^(0.8)x...

`((225)^(0.2)xx(225)^(0.3))/((225)^(0.8)xx(225)^(0.2))` is equal to

A

15

B

`(1)/(15)`

C

`(1)/(25)`

D

1.5

Text Solution

Verified by Experts

The correct Answer is:
B
`((225)^(0.2)xx(225)^(0.3))/((225)^(0.8)xx(225)^(0.2))=((225)^(0.3))/((225)^(0.8))`
`(1)/((225)^(0.8-0.3))=(1)/((225)^(0.5))`
`=(1)/((225)^(1//2))=(1)/(sqrt(225))=(1)/(15)`
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