¶ 2023 AMC8 Problem 6
Problem:
The digits and are placed in the expression below, one digit per box. What is the maximum possible value of the expression?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Consider the placement of the digit . If is inserted into one of the larger boxes, then the resulting product will be . The product will have a greater value if the digit is used as an exponent, leading to one of these three expressions:
Therefore the maximum possible value of the given expression is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions