Problem:
Assume that x is a positive real number. Which is equivalent to 3xx?
Answer Choices:
A. x1/6
B. x1/4
C. x3/8
D. x1/2
E. x
Solution:
The properties of exponents imply that
3xx=(x⋅x21)31=(x23)31=(D)x21
The problems on this page are the property of the MAA's American Mathematics Competitions