1. ## Exponent Problem

What are the ones, tens, and hundreds digits of 7^(2010)?

2. Originally Posted by MATNTRNG

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

$72010 = 7\times 10000+ 2\times 1000+ 0 \times 100+1\times 10 +0\times 1$

3. Originally Posted by MATNTRNG
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

4. Originally Posted by Drexel28
$(7,10)=1$, $\phi(10)=4$ $2010\equiv3\text{ mod }4$...etc.

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