Tuesday, May 24, 2016

Find the remainder of a number with a large exponent

I have to find the remainder of $10^{115}$ divided by 7.



I was following the way my book did it in an example but then I got confused. So far I have,
$\overline{10}^{115}$=$\overline{10}^{7*73+4}$=($\overline{10}^{7})^{73}$*$\overline{10}^4$
and that's where I'm stuck.



Also, I don't fully understand what it means to have a bar over a number.

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