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September 17, 2014

September 17, 2014

Posted by **Bill** on Sunday, March 9, 2008 at 10:55pm.

Prove that:

a^(m/n)= n(radical sign) a^m

Any help is appreciated, thank you.

- algebra -
**drwls**, Monday, March 10, 2008 at 12:13amThe nth root of a^m is BY DEFINITION a^(m/n)

If you want a more convincing "proof", raise both sides of the equation to the nth power.

The left side is a^(m/n) multiplied by itgself n times, yielding a^m.

The right side is also a^m, because you started out with the nth root of that quantity.

- algebra -
**Bill**, Monday, March 10, 2008 at 12:24amok, thanx mate

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