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Topic: Discrete Maths Number Theory Problem
Replies: 2   Last Post: Apr 14, 2013 4:02 PM

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Angela Richardson

Posts: 42
From: UK
Registered: 6/22/11
Re: Discrete Maths Number Theory Problem
Posted: Apr 14, 2013 4:02 PM
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a^2|b and b^3|c imply that there exist integers q and r such that b=qa^2 and c=rb^3. Then c^3=r^3b^9=r^3b^5b^4=r^3b^5a^8q^4=(a^4b^5)(a^4r^3q^4) and a^4b^5|c^3.



________________________________
From: ggfied <discussions@mathforum.org>
To: discretemath@mathforum.org
Sent: Sunday, April 14, 2013 6:58 AM
Subject: Discrete Maths Number Theory Problem


How do i prove the question below?

"Prove that a^2|b and b^3|c then a^4b^5|c^3."



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