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: Group the numerical parts and the powers of 10. (9 × 10^-7) × (5 × 10^4) = (9 × 5) × (10^-7 × 10^4) Step 2: Multiply the numerical parts. 9 × 5 = 45 Step 3: Multiply the powers of 10 by adding their exponents. 10^-7 × 10^4 = 10^-7 + 4 = 10^-3 Step 4: Combine the results from Step 2 and Step 3. 45 × 10^-3 Step 5: Convert the result to standard scientific notation. The coefficient must be between 1 and 10. 45 × 10^-3 = (4.5 × 10^1) × 10^-3 = 4.5 × 10^1 + (-3) = 4.5 × 10^-2 The final answer is 4.5 × 10^-2. 3 done, 2 left today. You're making progress.