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Math Help - Exponent Problem

  1. #1
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    Exponent Problem

    What are the ones, tens, and hundreds digits of 7^(2010)?
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  2. #2
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    Quote Originally Posted by MATNTRNG View Post

    What are the ones, tens, and hundreds digits of 72010?

    72010 = 7\times 10000+ 2\times 1000+ 0 \times 100+1\times 10 +0\times 1
    Last edited by pickslides; March 17th 2010 at 07:14 PM. Reason: OP changed original post.
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  3. #3
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by MATNTRNG View Post
    What are the ones, tens, and hundreds digits of 7^(2010)?
    (7,10)=1, \phi(10)=4 2010\equiv3\text{ mod }4...etc.

    Let's see some work
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  4. #4
    MHF Contributor Bruno J.'s Avatar
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    Quote Originally Posted by Drexel28 View Post
    (7,10)=1, \phi(10)=4 2010\equiv3\text{ mod }4...etc.

    Let's see some work
    2010\equiv2\text{ mod }4

    You're one year ahead!
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