2020 · Q18
If m and n are positive integers such that m^n = 1331, then what is the value of (m - 1)^(n-1)?
Elementary MathematicsNumber System
- A1
- B100
- C121
- D125
Explanation
1331 = 11³, so m = 11 and n = 3. Then (m − 1)ⁿ⁻¹ = 10² = 100. Indeed 11³ = 1331, confirming m = 11 and n = 3.