Questions: Calculate. 5.6 × 10^-6 / 7 × 10^-9 Write your answer in scientific notation.

Calculate. 5.6 × 10^-6 / 7 × 10^-9 Write your answer in scientific notation.
Transcript text: Calculate. \[ \frac{5.6 \times 10^{-6}}{7 \times 10^{-9}} \] Write your answer in scientific notation.
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Solution

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Solution Steps

Step 1: Understand the Problem

We need to calculate the division of two numbers given in scientific notation:

\[ \frac{5.6 \times 10^{-6}}{7 \times 10^{-9}} \]

and express the result in scientific notation.

Step 2: Divide the Coefficients

First, divide the coefficients of the numbers:

\[ \frac{5.6}{7} = 0.8 \]

Step 3: Subtract the Exponents

Next, subtract the exponents of the powers of 10:

\[ 10^{-6} \div 10^{-9} = 10^{-6 - (-9)} = 10^{3} \]

Step 4: Combine the Results

Combine the results from the previous steps:

\[ 0.8 \times 10^{3} \]

Step 5: Express in Scientific Notation

Express \(0.8 \times 10^{3}\) in proper scientific notation:

\[ 8.0 \times 10^{-1} \times 10^{3} = 8.0 \times 10^{2} \]

Final Answer

\[ \boxed{8.0 \times 10^{2}} \]

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