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If root(x)(3)xxroot(y)(5)=10125, then 12...

If `root(x)(3)xxroot(y)(5)=10125`, then `12xy` =________.

A

1

B

`1/3`

C

2

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
A
`root(x)(3)xxroot(y)(5)=10125`
`3^(1//x).51^(1//y)=3^(4)xx5^(3)`
`implies (1)/(x)=4, (1)/(y)=3`
`implies 4x=1, 3y=1`
`implies 12xy=1`
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