(4,2 × 10⁻⁹) / (2,7 × 10⁻⁷)

Question

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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) × ((10⁻⁹)/(10⁻⁷)) 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. (10⁻⁹)/(10⁻⁷) = 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.

(4,2 x 10⁻⁹) / (2,7 x 10⁻⁷)

Answer

Step-by-step solution

Separate the numerical parts and the powers of 10 for division.

Divide the numerical parts.

Divide the powers of 10 by subtracting the exponents.

Combine the results from Step 2 and Step 3.

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).

Write the final answer in scientific notation.

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