To simplify the expression \((3x^4y^2)(-2x^6y^3)\), follow these steps:
-
Multiply the coefficients:
\(3 \times -2 = -6\) -
Add the exponents of \(x\):
\(x^4 \times x^6 = x^{4+6} = x^{10}\) -
Add the exponents of \(y\):
\(y^2 \times y^3 = y^{2+3} = y^{5}\)
Putting it all together, we have:
\[ (3x^4y^2)(-2x^6y^3) = -6x^{10}y^{5} \]
The correct answer is:
\(-6x^{10}y^5\)