pls help me with this problem. i tried to solve but it i can't get it.

*Determine whether the following assertions are true or false. if true, prove the result, and if false, give a counter example

1. If a^3/c^3 then a/c

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- Sep 8th 2009, 04:59 PMmanusformNumber theory (Primes)
pls help me with this problem. i tried to solve but it i can't get it.

*Determine whether the following assertions are true or false. if true, prove the result, and if false, give a counter example

1. If a^3/c^3 then a/c - Sep 8th 2009, 11:23 PMCaptainBlack
We would normally write this which reads cubed divides cubed (I will aslo assume for simplicity that and are both natural numbers).

This is true, to prove it consider the prime decompositions of and . It can also be done by contradiction - supose that , but .

CB