### What an Odd Fact(or)

Can you show that 1^99 + 2^99 + 3^99 + 4^99 + 5^99 is divisible by 5?

### Lastly - Well

What are the last two digits of 2^(2^2003)?

### Like Powers

Investigate $1^n + 19^n + 20^n + 51^n + 57^n + 80^n + 82^n$ and $2^n + 12^n + 31^n + 40^n + 69^n + 71^n + 85^n$ for different values of n.

# Sept 03

##### Age 11 to 14Challenge Level

Another way of writing 1/5 !

Now look at first few powers and see what happens.