Adding Large Exponents

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Adding Large Exponents

by student22 » Wed Mar 03, 2010 8:59 pm
5^12 + 5^13 =

A. 5^25
B. 10^25
C. 6(5^12)
D. 10^12 + 5
E. 2(5^12) + 5
Answer: C

Since there is no rule on adding exponents, what is the trick for solving this kind of problem? Thanks.
Source: — Problem Solving |

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by papgust » Wed Mar 03, 2010 10:07 pm
Take the common factor out - 5^12

5^12 (1+5) = 5^12 * 6

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by student22 » Thu Mar 04, 2010 9:33 am
I can't believe I didn't think to factor the problem. I was looking in the wrong direction. Thanks so much!

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by florencejennifer » Tue Mar 09, 2010 3:39 am
5^12 + 5^13 = 5^12(1 + 5) = 6(5^12)

Correct Answer: C.