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

Question

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

Any help is appreciated, thank you.

Answer 1

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.

Answer 2

ok, thanx mate