What are the ones, tens, and hundreds digits of 7^(2010)?
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Originally Posted by MATNTRNG What are the ones, tens, and hundreds digits of 72010? $\displaystyle 72010 = 7\times 10000+ 2\times 1000+ 0 \times 100+1\times 10 +0\times 1$
Last edited by pickslides; Mar 17th 2010 at 07:14 PM. Reason: OP changed original post.
Originally Posted by MATNTRNG What are the ones, tens, and hundreds digits of 7^(2010)? $\displaystyle (7,10)=1$, $\displaystyle \phi(10)=4$ $\displaystyle 2010\equiv3\text{ mod }4$...etc. Let's see some work
Originally Posted by Drexel28 $\displaystyle (7,10)=1$, $\displaystyle \phi(10)=4$ $\displaystyle 2010\equiv3\text{ mod }4$...etc. Let's see some work $\displaystyle 2010\equiv2\text{ mod }4$ You're one year ahead!
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