algebra

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Hey , can anyone help me out please? i'm really confused with this problem.

Prove that:
a^(m/n)= n(radical sign) a^m

Any help is appreciated, thank you.

  • algebra -

    The 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 -

    ok, thanx mate

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