Shortcut for Computing x^nDate: 07/05/2002 at 09:59:53 From: Imran Subject: How to solve x^n as fast as possible Dear Dr. Math, Our teacher asked us to solve 3^12. We did 3*3*3*3..... and got the answer 531441. In the course of the rest time, my classmate asked me how to solve x^n as fast as possible. I have no idea. Do you have any formula or shortcut? Thank you very much for your time, Imran. Date: 07/16/2002 at 09:14:20 From: Doctor Nitrogen Subject: Re: How to solve x^n as fast as possible Imran: Why not just use the associative law to make it easier? That is: 3^12 = (3*3*3*3)*(3*3*3*3)*(3*3*3*3) = (3^4)*(3^4)*(3^4) = (81)*(81)*(81) = 81^3 = 531441. This can be done no matter what number x in x^n stands for and for any positive integer n > 3. Hope this helps. - Doctor Nitrogen, The Math Forum http://mathforum.org/dr.math/ |
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