Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.
When is $7^n + 3^n$ a multiple of 10? Can you prove the result by two different methods?
Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?