Solve 3k^4m^6*18k^9m^4

$$3 k ^ { 4 } m ^ { 6 } \cdot 18 k ^ { 9 } m ^ { 4 }$$

Evaluate

$$54m^{10}k^{13}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$3^{1}k^{4}m^{6}\times 18^{1}k^{9}m^{4}$$

Use the Commutative Property of Multiplication.

$$3^{1}\times 18^{1}k^{4}k^{9}m^{6}m^{4}$$

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

$$3^{1}\times 18^{1}k^{4+9}m^{6+4}$$

Add the exponents 4 and 9.

$$3^{1}\times 18^{1}k^{13}m^{6+4}$$

Add the exponents 6 and 4.

$$3^{1}\times 18^{1}k^{13}m^{10}$$

Multiply 3 times 18.

$$54k^{13}m^{10}$$

Differentiate w.r.t. k

$$702m^{10}k^{12}$$