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 . Depending on which exponentiation is done last, we have
so there is other possible value.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions