Solve (6g^4h^3)(9gh^2)

$$( 6 g ^ { 4 } h ^ { 3 } ) ( 9 g h ^ { 2 } )$$

Evaluate

$$54\left(gh\right)^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$6^{1}g^{4}h^{3}\times 9^{1}g^{1}h^{2}$$

Use the Commutative Property of Multiplication.

$$6^{1}\times 9^{1}g^{4}g^{1}h^{3}h^{2}$$

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

$$6^{1}\times 9^{1}g^{4+1}h^{3+2}$$

Add the exponents 4 and 1.

$$6^{1}\times 9^{1}g^{5}h^{3+2}$$

Add the exponents 3 and 2.

$$6^{1}\times 9^{1}g^{5}h^{5}$$

Multiply 6 times 9.

$$54g^{5}h^{5}$$

Differentiate w.r.t. g

$$270g^{4}h^{5}$$