Solve 2/3d^2c*(-5)dc

$$\frac { 2 } { 3 } d ^ { 2 } c \cdot ( - 5 ) d c$$

Evaluate

$$-\frac{10c^{2}d^{3}}{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(\frac{2}{3}\right)^{1}d^{2}c^{1}\left(-5\right)^{1}d^{1}c^{1}$$

Use the Commutative Property of Multiplication.

$$\left(\frac{2}{3}\right)^{1}\left(-5\right)^{1}d^{2}d^{1}c^{1}c^{1}$$

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

$$\left(\frac{2}{3}\right)^{1}\left(-5\right)^{1}d^{2+1}c^{1+1}$$

Add the exponents 2 and 1.

$$\left(\frac{2}{3}\right)^{1}\left(-5\right)^{1}d^{3}c^{1+1}$$

Add the exponents 1 and 1.

$$\left(\frac{2}{3}\right)^{1}\left(-5\right)^{1}d^{3}c^{2}$$

Multiply \frac{2}{3} times -5.

$$-\frac{10}{3}d^{3}c^{2}$$

Differentiate w.r.t. d

$$-10\left(cd\right)^{2}$$