Problem:
According to the standard convention for exponentiation,
If the order in which the exponentiations are performed is changed, how many other values are possible?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
No matter how the exponentiations are performed, always gives 16 . Depending on which exponentiation is done last, we have
so there is other possible value.
The problems and solutions on this page are the property of the MAA's American Mathematics Competitions