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: Separate the numerical parts and the powers of 10 for division. (4.2 × 10^-9) ÷ (2.7 × 10^-7) = ((4.2)/(2.7)) × (10^-910^-7) Step 2: Divide the numerical parts. (4.2)/(2.7) ≈ 1.555... We can express this as a fraction first to maintain precision: (42)/(27) = (14)/(9). Step 3: Divide the powers of 10 by subtracting the exponents. 10^-910^-7 = 10^-9 - (-7) = 10^-9 + 7 = 10^-2 Step 4: Combine the results from Step 2 and Step 3. (14)/(9) × 10^-2 Step 5: Convert the numerical part to a decimal and round to a reasonable number of significant figures (e.g., two decimal places, or three significant figures, consistent with the input). (14)/(9) ≈ 1.56 Step 6: Write the final answer in scientific notation. 1.56 × 10^-2 The final answer is 1.56 × 10^-2. Just one more to go today! What's next?