Solve 5w^2z^2*15w^4z^3

$$5 w ^ { 2 } z ^ { 2 } \cdot 15 w ^ { 4 } z ^ { 3 }$$

Evaluate

$$75z^{5}w^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$5^{1}w^{2}z^{2}\times 15^{1}w^{4}z^{3}$$

Use the Commutative Property of Multiplication.

$$5^{1}\times 15^{1}w^{2}w^{4}z^{2}z^{3}$$

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

$$5^{1}\times 15^{1}w^{2+4}z^{2+3}$$

Add the exponents 2 and 4.

$$5^{1}\times 15^{1}w^{6}z^{2+3}$$

Add the exponents 2 and 3.

$$5^{1}\times 15^{1}w^{6}z^{5}$$

Multiply 5 times 15.

$$75w^{6}z^{5}$$

Differentiate w.r.t. w

$$450\left(wz\right)^{5}$$