Multiply the monomials. Assume any variable exponents represent whole numbers.
-$$\left( 3 x ^ { 4 } y \right) \left( - 6 x ^ { 7 } y ^ { 2 } \right)$$
A) $- 3 x ^ { 28 } y ^ { 2 }$
B) $- 18 x ^ { 11 } y ^ { 3 }$
C) $- 18 x ^ { 11 } y ^ { 2 }$
D) $- 3 x ^ { 11 } y ^ { 3 }$

Question

Quizplus · Accepted Answer

When multiplying monomials, you multiply the coefficients (numerical parts) and add the exponents of like variables. Here, $3 \times (-6) = -18$, $x^4 \times x^7 = x^{4+7} = x^{11}$, and $y \times y^2 = y^{1+2} = y^3$, resulting in $-18 x^{11} y^3$.

Multiply the Monomials (3x4y)(−6x7y2)\left( 3 x ^ { 4 } y \right) \left( - 6 x ^ { 7 } y ^ { 2 } \right)(3x4y)(−6x7y2)

Multiply the Monomials $\left( 3 x ^ { 4 } y \right) \left( - 6 x ^ { 7 } y ^ { 2 } \right)$