Question

question

simplify:

\\(-4q^3)(8q)\\

answer attempt 1 out of 2

submit answer

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Exponent Rules",
"Polynomial Multiplication"
],
"new_concepts": [],
"current_concepts": [
"Exponent Rules",
"Polynomial Multiplication"
]
}
</pre_analysis>

<reasoning>

Multiplicar los coeficientes numéricos

\[
-4 \cdot 8 = -32
\]

Multiplicar las variables usando las reglas de los exponentes

\[
q^3 \cdot q^1 = q^{3+1} = q^4
\]

Combinar los resultados para obtener la expresión simplificada

\[
-32q^4
\]
</reasoning>

<answer>
Simplify: \((-4q^3)(8q) =\) <blank>\(-32q^4\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Exponent Rules"
]
}
</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": [
"Exponent Rules",
"Polynomial Multiplication"
],
"new_concepts": [],
"current_concepts": [
"Exponent Rules",
"Polynomial Multiplication"
]
}
</pre_analysis>

<reasoning>

Multiplicar los coeficientes numéricos

\[
-4 \cdot 8 = -32
\]

Multiplicar las variables usando las reglas de los exponentes

\[
q^3 \cdot q^1 = q^{3+1} = q^4
\]

Combinar los resultados para obtener la expresión simplificada

\[
-32q^4
\]
</reasoning>

<answer>
Simplify: \((-4q^3)(8q) =\) <blank>\(-32q^4\)</blank>
</answer>

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