IMC 2019 Q11
11. Which of the following is equal to \(\dfrac{3^9}{9^3}\)?
- A 3
- B 9
- C 27
- D 81
- E 243
Intermediate Mathematical Challenge 2019, Question 11. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: C 27
The fraction \(\dfrac{3^9}{9^3} = \dfrac{3^9}{(3^2)^3} = \dfrac{3^9}{3^6} = 3^3 = 27\).
Solution © UK Mathematics Trust, from the IMC 2019 solutions. Longer versions with investigations: Solutions and investigations (PDF).