Open Middle®
Directions: Using any number between 1 and 9, fill in the boxes to create a true statement. You may only use a number once.
Hint
What are the properties of exponents? How do they relate?
Answer
There are many possible solutions, one is: x^7/x^5 < x^(9/3) < x^8/x^2
Source: Bryan Anderson
It appears that we are assuming that x>1. So the answer provided is not true if x=1/2 for example.
What if x=1? Then they’re all equal…