simplify `( 5^sqrt10)^sqrt6`

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simplify `( 5^sqrt10)^sqrt6`

Postby Integr88 » Sat 02 April, 2011 18:26

to simplify `( 5^sqrt10)^sqrt6`
Multiply powers and we have:
`( 5)^(sqrt6*sqrt10)=5^sqrt60=5^sqrt(4*15)=5^(2sqrt15)`

and the final solution is `5^(2sqrt15)`
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