Big Powers
At first glance, a challenging problem; but no algebra is required
to justify the solution.
Students who meet this problem for the first time may need a
significant amount of support in structuring a solution so it is
useful to be able to find similar tasks to which they may apply
their new-found understanding.
You can find a number of similar problems on the NRICH site - for
example:
Power crazy
What an odd fact(or)
It is important to be able to justify any pattern. How can you be
sure it continues?