Questions: Calculate. 3.5 × 10^-8 / 5 × 10^5 Write your answer in scientific notation.

Calculate. 3.5 × 10^-8 / 5 × 10^5 Write your answer in scientific notation.
Transcript text: Calculate. \[ \frac{3.5 \times 10^{-8}}{5 \times 10^{5}} \] Write your answer in scientific notation.
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Solution

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Solution Steps

To solve the given problem, we need to divide two numbers expressed in scientific notation. The general approach is to divide the coefficients and subtract the exponents of the powers of 10.

Solution Approach
  1. Divide the coefficients: \(3.5\) and \(5\).
  2. Subtract the exponents: \(-8\) and \(5\).
  3. Combine the results to express the answer in scientific notation.
Step 1: Calculate the Coefficients

We start with the coefficients from the expression: \[ \frac{3.5}{5} = 0.7 \]

Step 2: Calculate the Exponents

Next, we subtract the exponents of the powers of 10: \[ -8 - 5 = -13 \]

Step 3: Combine the Results

Now, we combine the results from the coefficients and the exponents to express the answer in scientific notation: \[ 0.7 \times 10^{-13} \]

To express \(0.7\) in scientific notation, we rewrite it as: \[ 7.0 \times 10^{-1} \] Thus, the combined expression becomes: \[ 7.0 \times 10^{-1} \times 10^{-13} = 7.0 \times 10^{-14} \]

Final Answer

The final result in scientific notation is: \[ \boxed{7.00 \times 10^{-14}} \]

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