IMC 2020 Q6
6. Which of the following has the largest value?
- A \(2^6\)
- B \(3^5\)
- C \(4^4\)
- D \(5^3\)
- E \(6^2\)
Intermediate Mathematical Challenge 2020, Question 6. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: C \(4^4\)
The values of the five options are 64, 243, 256, 125, 36 respectively.
Of these 256 is the largest, so \(4^4\) is the largest of the options.
Solution © UK Mathematics Trust, from the IMC 2020 solutions. Longer versions with investigations: Solutions and investigations (PDF).