Question
Divide and write the result using scientific notation.
StartFraction 4 times 10 Superscript 7 Over 2 times 10 Superscript negative 3 EndFraction
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.
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Question content area right
Part 1
StartFraction 4 times 10 Superscript 7 Over 2 times 10 Superscript negative 3 EndFraction
equals
enter your response here
(Type your answer in scientific notation. Use the multiplication symbol in the math palette as needed.)
StartFraction 4 times 10 Superscript 7 Over 2 times 10 Superscript negative 3 EndFraction
.
.
.
Question content area right
Part 1
StartFraction 4 times 10 Superscript 7 Over 2 times 10 Superscript negative 3 EndFraction
equals
enter your response here
(Type your answer in scientific notation. Use the multiplication symbol in the math palette as needed.)
Answers
GPT-4o mini
To divide the expression \( \frac{4 \times 10^{7}}{2 \times 10^{-3}} \), we can follow these steps:
1. **Divide the coefficients:** \( \frac{4}{2} = 2 \)
2. **Subtract the exponents for the powers of ten:**
\[
10^{7} \div 10^{-3} = 10^{7 - (-3)} = 10^{7 + 3} = 10^{10}
\]
Combining both parts, we get:
\[
2 \times 10^{10}
\]
Now, it is already in scientific notation.
So, the final answer is:
\[
\boxed{2 \times 10^{10}}
\]
1. **Divide the coefficients:** \( \frac{4}{2} = 2 \)
2. **Subtract the exponents for the powers of ten:**
\[
10^{7} \div 10^{-3} = 10^{7 - (-3)} = 10^{7 + 3} = 10^{10}
\]
Combining both parts, we get:
\[
2 \times 10^{10}
\]
Now, it is already in scientific notation.
So, the final answer is:
\[
\boxed{2 \times 10^{10}}
\]