Solve (w^4yz^5)(w^2y^6z)

$$( w ^ { 4 } y z ^ { 5 } ) ( w ^ { 2 } y ^ { 6 } z )$$

Evaluate

$$y^{7}\left(wz\right)^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$w^{4}y^{1}z^{5}w^{2}y^{6}z^{1}$$

Use the Commutative Property of Multiplication.

$$w^{4}w^{2}y^{1}y^{6}z^{5}z^{1}$$

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

$$w^{4+2}y^{1+6}z^{5+1}$$

Add the exponents 4 and 2.

$$w^{6}y^{1+6}z^{5+1}$$

Add the exponents 1 and 6.

$$w^{6}y^{7}z^{5+1}$$

Add the exponents 5 and 1.

$$w^{6}y^{7}z^{6}$$

Differentiate w.r.t. w

$$6w^{5}z^{6}y^{7}$$