Solve 3u^9v^9*4u^9v

$$3 u ^ { 9 } v ^ { 9 } \cdot 4 u ^ { 9 } v$$

Evaluate

$$12v^{10}u^{18}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$3^{1}u^{9}v^{9}\times 4^{1}u^{9}v^{1}$$

Use the Commutative Property of Multiplication.

$$3^{1}\times 4^{1}u^{9}u^{9}v^{9}v^{1}$$

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

$$3^{1}\times 4^{1}u^{9+9}v^{9+1}$$

Add the exponents 9 and 9.

$$3^{1}\times 4^{1}u^{18}v^{9+1}$$

Add the exponents 9 and 1.

$$3^{1}\times 4^{1}u^{18}v^{10}$$

Multiply 3 times 4.

$$12u^{18}v^{10}$$

Differentiate w.r.t. u

$$216v^{10}u^{17}$$