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Jamin2112
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Fix b > 1. If m, n, ... (DUE IN 1 HOUR!)
Fix b > 1.
If m, n, p, q are integers, n > 0, q > 0, and r = m/n = p/q, prove that
(bm)1/n = (bp)1/q
For every real x > 0 and every integer n > 0 there is one and only one positive real y such that yn = x.
This is what I have so far.
I could use a helpful hint or two to put the final nail in this coffin.
Homework Statement
Fix b > 1.
If m, n, p, q are integers, n > 0, q > 0, and r = m/n = p/q, prove that
(bm)1/n = (bp)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 yn = 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.