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GMATPrep - Exponents

Expert replies
Source: — Problem Solving |

by dmateer25 » Sat May 30, 2009 4:49 am
(8^2)(3^3)(2^4)/96^2

First break all of the numbers down into primes.

8^2 = 2^6

96 = 2^5 * 3

96^2 = 2^10 * 3^2


so now that everything is broken down into prime numbers we have

(2^10)(3^3)/(2^10)(3^2)

Now it is easy to see that the answer is 3.
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Thanks!

by njbdrexel » Sat May 30, 2009 5:35 am
Thank you! I assume the 2^10 cancel out as well as 3^2 leaving 3?
NJB
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Re: Thanks!

by dmateer25 » Sat May 30, 2009 6:50 am
njbdrexel wrote:Thank you! I assume the 2^10 cancel out as well as 3^2 leaving 3?
NJB
Yes, that is correct
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