Question

Multiply Linear Expressions Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
What is 4a6b5c4⋅−7b7c6
?(1 point)

Answer 1

To multiply the linear expressions \(4a^6b^5c^4\) and \(-7b^7c^6\), you will first multiply the coefficients and then combine the variable parts.

1. Multiply the coefficients:
\[
4 \cdot (-7) = -28
\]

2. Now, combine the variables:
- For \(a\), there is only \(a^6\) in the first expression, so we keep \(a^6\).
- For \(b\), you have \(b^5\) from the first expression and \(b^7\) from the second. To combine, you add the exponents:
\[
b^{5+7} = b^{12}
\]
- For \(c\), you have \(c^4\) from the first expression and \(c^6\) from the second. Again, you add the exponents:
\[
c^{4+6} = c^{10}
\]

Putting it all together, we get:

\[
-28a^6b^{12}c^{10}
\]

So, the final result is:

\[
\boxed{-28a^6b^{12}c^{10}}
\]