Solve (5/6x^3y)(12xy^2)

$$( \frac { 5 } { 6 } x ^ { 3 } y ) ( 12 x y ^ { 2 } )$$

Evaluate

$$10y^{3}x^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(\frac{5}{6}\right)^{1}x^{3}y^{1}\times 12^{1}x^{1}y^{2}$$

Use the Commutative Property of Multiplication.

$$\left(\frac{5}{6}\right)^{1}\times 12^{1}x^{3}x^{1}y^{1}y^{2}$$

To multiply powers of the same base, add their exponents.

$$\left(\frac{5}{6}\right)^{1}\times 12^{1}x^{3+1}y^{1+2}$$

Add the exponents 3 and 1.

$$\left(\frac{5}{6}\right)^{1}\times 12^{1}x^{4}y^{1+2}$$

Add the exponents 1 and 2.

$$\left(\frac{5}{6}\right)^{1}\times 12^{1}x^{4}y^{3}$$

Multiply \frac{5}{6} times 12.

$$10x^{4}y^{3}$$

Differentiate w.r.t. x

$$40\left(xy\right)^{3}$$