Question
5a2b5c3⋅−4a7
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the expression \(5a^2b^5c^3 \cdot -4a^7\), we can follow these steps:
1. **Multiply the coefficients**: Multiply \(5\) and \(-4\):
\[
5 \cdot -4 = -20
\]
2. **Multiply the like bases**: For \(a\), we add the exponents since we are multiplying:
\[
a^2 \cdot a^7 = a^{2+7} = a^9
\]
For \(b\), since there is no \(b\) term in \(-4a^7\), it remains \(b^5\).
For \(c\), since there is no \(c\) term in \(-4a^7\), it remains \(c^3\).
3. **Combine the results**:
\[
-20a^9b^5c^3
\]
So, the simplified expression is:
\[
\boxed{-20a^9b^5c^3}
\]
1. **Multiply the coefficients**: Multiply \(5\) and \(-4\):
\[
5 \cdot -4 = -20
\]
2. **Multiply the like bases**: For \(a\), we add the exponents since we are multiplying:
\[
a^2 \cdot a^7 = a^{2+7} = a^9
\]
For \(b\), since there is no \(b\) term in \(-4a^7\), it remains \(b^5\).
For \(c\), since there is no \(c\) term in \(-4a^7\), it remains \(c^3\).
3. **Combine the results**:
\[
-20a^9b^5c^3
\]
So, the simplified expression is:
\[
\boxed{-20a^9b^5c^3}
\]
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.