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

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 -
**drwls**, Monday, March 10, 2008 at 12:13am
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 -
**Bill**, Monday, March 10, 2008 at 12:24am
ok, thanx mate

## Answer this Question

## Related Questions

algebra - hey i need some help with a couple of questions please..... change all...

math - Can somebody please help me with this problem? This is the index-„³ 5 6^-...

geometry - abcd is a rectangle such that ab=-3 radical sign 48+2 radical sign 75...

Math (Algebra 1) - ok, we are learning about simplifying radical equations and I...

Algebra - I'm not sure how to write a radical sign on the computer but the ...

radical equation - no solution right? - radical sign (w + 5) = 2 In all my ...

Algebra 1B - I really need help with this but I'm not sure if I'm going to put ...

Algebra 1 - Please help me find the answer to this problem. it would be nice to ...

math,correction - Simplify by combining like terms. Problem #32 radical (63) - 2...

Alg 1 - Simplifying Radicals A gardener is mowing a 20-yd-by-40 yd rectangular ...