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work out \\((3.8 \\times 10^{13}) \\div 10^6\\) give your answer in sta…

Question

work out \\((3.8 \times 10^{13}) \div 10^6\\)

give your answer in standard form.

Explanation:

Response

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"skills_matched": [
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"concepts_used": [
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</pre_analysis>

<reasoning>

Set up the division expression

\[
\frac{3.8 \times 10^{13}}{10^6}
\]

Apply the quotient rule for exponents

\[
3.8 \times 10^{13 - 6} = 3.8 \times 10^7
\]

Verify standard form representation

\[
3.8 \times 10^7
\]
</reasoning>

<answer>
Work out \((3.8 \times 10^{13}) \div 10^6\)

Give your answer in standard form.

<blank>\(3.8 \times 10^7\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Scientific Notation"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Scientific Notation",
"Standard Form"
],
"new_concepts": [],
"current_concepts": [
"Scientific Notation",
"Standard Form",
"Laws of Indices"
]
}
</pre_analysis>

<reasoning>

Set up the division expression

\[
\frac{3.8 \times 10^{13}}{10^6}
\]

Apply the quotient rule for exponents

\[
3.8 \times 10^{13 - 6} = 3.8 \times 10^7
\]

Verify standard form representation

\[
3.8 \times 10^7
\]
</reasoning>

<answer>
Work out \((3.8 \times 10^{13}) \div 10^6\)

Give your answer in standard form.

<blank>\(3.8 \times 10^7\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Scientific Notation"
]
}
</post_analysis>