Question

What is 5xy^4z^5 x 8x^7z^2?

Answer 1

To multiply the expressions \(5xy^4z^5\) and \(8x^7z^2\), you multiply the coefficients and then combine like variables.

1. **Multiply the coefficients**:
\(5 \times 8 = 40\)

2. **Combine the variables**:
- For \(x\): \(x^1 \cdot x^7 = x^{1+7} = x^8\)
- For \(y\): \(y^4\) (there is no \(y\) in the second expression, so it remains as \(y^4\))
- For \(z\): \(z^5 \cdot z^2 = z^{5+2} = z^7\)

Now combine all these components:

\[
5xy^4z^5 \times 8x^7z^2 = 40x^8y^4z^7
\]

So the final result is:

\[
\boxed{40x^8y^4z^7}
\]