Divide. Express your answer in scientific notation.

StartFraction 4.8 times 10 Superscript negative 6 Over 2 times 10 Superscript negative 3 EndFraction
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Part 1
StartFraction 4.8 times 10 Superscript negative 6 Over 2 times 10 Superscript negative 3 EndFraction
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​(Use scientific notation. Use the multiplication symbol in the math palette as​ needed.)

1 answer

To divide \( \frac{4.8 \times 10^{-6}}{2 \times 10^{-3}} \), we can separately divide the coefficients and divide the powers of 10.

  1. Divide the coefficients: \[ \frac{4.8}{2} = 2.4 \]

  2. Divide the powers of 10: \[ \frac{10^{-6}}{10^{-3}} = 10^{-6 - (-3)} = 10^{-6 + 3} = 10^{-3} \]

  3. Combine the results: \[ 2.4 \times 10^{-3} \]

Now, we have our result in scientific notation:

\[ \boxed{2.4 \times 10^{-3}} \]

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