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**Fix b > 1. If m, n, ......... (DUE IN 1 HOUR!)**

## Homework Statement

Fix b > 1.

If m, n, p, q are integers, n > 0, q > 0, and r = m/n = p/q, prove that

(b

^{m})

^{1/n}= (b

^{p})

^{1/q}

## Homework Equations

For every real x > 0 and every integer n > 0 there is one and only one positive real y such that y

^{n}= x.

## The Attempt at a Solution

This is what I have so far.

I could use a helpful hint or two to put the final nail in this coffin.