Multiply as indicated.
-$2 x ^ { 4 } \cdot \frac { x ^ { 2 } y } { 6 x ^ { 3 } y ^ { 2 } }$
A) $\frac { x ^ { 3 } } { 3 y }$
B) $\frac { x ^ { 5 } } { 3 y }$
C) $\frac { 1 } { 6 x y }$
D) $\frac { x ^ { 6 } y } { 3 x ^ { 3 } y ^ { 2 } }$

Question

Quizplus · Accepted Answer

When multiplying fractions with variables, you add the exponents for variables with the same base and subtract the exponents when dividing. Here, $2x^4 \cdot \frac{x^2y}{6x^3y^2} = \frac{2x^{4+2}y}{6x^3y^2} = \frac{2x^6y}{6x^3y^2}$. Simplifying, we get $\frac{x^3}{3y}$, since $x^6/x^3 = x^{6-3} = x^3$ and $y/y^2 = 1/y$.

Multiply as Indicated 2x4⋅x2y6x3y22 x ^ { 4 } \cdot \frac { x ^ { 2 } y } { 6 x ^ { 3 } y ^ { 2 } }2x4⋅6x3y2x2y​

Multiply as Indicated $2 x ^ { 4 } \cdot \frac { x ^ { 2 } y } { 6 x ^ { 3 } y ^ { 2 } }$