exponents

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exponents

by navalpike » Thu Aug 13, 2009 11:23 am
How would you guys approach this problem?

What is 2^5 + 2^5 + 3^5 + 3^5 + 3^5?

Ans: [spoiler]2^6 + 3^6[/spoiler]

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by pandeyvineet24 » Thu Aug 13, 2009 11:28 am
here is what you can do

2^5 + 2^5 + 3^5 + 3^5 + 3^5
= 2^5(1 + 1) + 3^5(1+1+1)
= 2 * 2^5 + 3 * 3^5
= 2^(5+1) + 3^(5+1)
=2^6 + 3^6