Help with Abstract Algebra: groups

bds_css

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Feb 9, 2009
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Given that element a is a group and a^10=a^4, express a^-1 as a positive power.

I am trying to wrap my mind around this. So, the order of a, |a|=10 and |a|=4.
I know that |a|=|a^-1| but how to express it as a positive power???
 
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