This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Write down the two equations connecting m and n. The first given equation is: 2^m × 3^n = 212 (1) The second given equation is: 3^m × 3^n = 9 Using the exponent rule a^x × a^y = a^x+y, we can simplify the second equation: 3^m+n = 3^2 Equating the exponents, we get the second equation: m+n = 2 (2) The two equations connecting m and n are: $2^