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# Basic Exponent Problem

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Intern
Joined: 04 Jun 2004
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Basic Exponent Problem [#permalink]  17 Aug 2004, 08:50
Hey guys, I know this is a simple question, but what's the fatstest way to work this type of problem?

(6^14-6^13)*(5^14-5^13)
CEO
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Re: Basic Exponent Problem [#permalink]  17 Aug 2004, 22:13
Roc-a-fella wrote:
Hey guys, I know this is a simple question, but what's the fatstest way to work this type of problem?

(6^14-6^13)*(5^14-5^13)

6^13* ( 6-1 ) * 5^13 * (5-1)

[ taking common terms out of each expression]

5^14* 6^13 *4

[ 5 * 5^13 = 5^14]

is this the answer you are looking for, rocafella?

Praetorian
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By taking out common factors !
6^13(6-1)*5^13(5-1) = (6^13)(5)(5^13)(4)
= (6^13)(5^14)(4)
Intern
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Kudos [?]: 19 [0], given: 0

Hey guys thanks for the answer
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