Solve (-3w^4z^2)(5wz^2)

$$( - 3 w ^ { 4 } z ^ { 2 } ) ( 5 w z ^ { 2 } )$$

Evaluate

$$-15z^{4}w^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-3\right)^{1}w^{4}z^{2}\times 5^{1}w^{1}z^{2}$$

Use the Commutative Property of Multiplication.

$$\left(-3\right)^{1}\times 5^{1}w^{4}w^{1}z^{2}z^{2}$$

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

$$\left(-3\right)^{1}\times 5^{1}w^{4+1}z^{2+2}$$

Add the exponents 4 and 1.

$$\left(-3\right)^{1}\times 5^{1}w^{5}z^{2+2}$$

Add the exponents 2 and 2.

$$\left(-3\right)^{1}\times 5^{1}w^{5}z^{4}$$

Multiply -3 times 5.

$$-15w^{5}z^{4}$$

Differentiate w.r.t. w

$$-75\left(wz\right)^{4}$$