QUESTION IMAGE
Question
work out \\((3.8 \times 10^{13}) \div 10^6\\)
give your answer in standard form.
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<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>
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<pre_analysis>
{
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"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
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"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>