BigDecimal to the power of BigDecimal on Java/Android

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I have a simple BigDecimal that I want to power to another BigDecimal, for example 11.11^-1.54. What would be the neatest way to do it in Java/Android? I don't like the idea of converting to doubles because it is for a medical application, so I would appreciate the biggest presicion possible. So far I have reviewed http://commons.apache.org/math/ and math stuff from Google Guava, but found nothing.

Edit: The whole calculation is complex, and has many operations like this. I need as much precision at the end as possible.

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