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
Step 1: Rewrite the right side of the equation with a base of 5. We know that 125 = 5^3. Using the property x^-n = (1)/(x^n), we can write (1)/(125) as 5^-3. 5^a-2 = (1)/(5^3) 5^a-2 = 5^-3 Step 2: Equate the exponents. Since the bases are the same, the exponents must be equal. a-2 = -3 Step 3: Solve for a. Add 2 to both sides of the equation. a = -3 + 2 a = -1 Step 4: Find the value of 2a. Substitute the value of a into 2a. 2a = 2(-1) 2a = -2 The final answer is -2. Send me the next one 📸