Westion 6 of 11. Step 1 of 1 \[ \left(-5 x^{3} y\right)(-2 x) \] nultiply the monomials using the product rule of exponents.

To multiply the monomials \((-5 x^{3} y)\) and \((-2 x)\), start by multiplying the coefficients and then apply the product rule of exponents. The coefficients \(-5\) and \(-2\) multiply to \(10\). For the \(x\) terms, add the exponents: \(x^{3} \cdot x^{1} = x^{3+1} = x^{4}\). The \(y\) term remains unchanged because there is no \(y\) in \((-2 x)\). So, the final result is \(10 x^{4} y\). Just remember: when multiplying, combine like terms, and don’t forget to add the exponents of the same base! It's like a dance party where only the same types of dancers get to groove together!