Problem:
If aβb=aβba+bβ, then (6β4)β3=
Answer Choices:
A. 4
B. 13
C. 15
D. 30
E. 72
Solution:
6β4=6β46+4β=210β=5, and 5β3=5β35+3β=28β=4.
Note: (6β4)β3ξ =6β(4β3). Does (6β4)β3=3β(6β4)?
Answer: Aβ.
The problems on this page are the property of the MAA's American Mathematics Competitions