Solve (3x^3y^4)(4xy^5)=

$$( 3 x ^ { 3 } y ^ { 4 } ) ( 4 x y ^ { 5 } ) =$$

Evaluate

$$12x^{4}y^{9}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$3^{1}x^{3}y^{4}\times 4^{1}x^{1}y^{5}$$

Use the Commutative Property of Multiplication.

$$3^{1}\times 4^{1}x^{3}x^{1}y^{4}y^{5}$$

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

$$3^{1}\times 4^{1}x^{3+1}y^{4+5}$$

Add the exponents 3 and 1.

$$3^{1}\times 4^{1}x^{4}y^{4+5}$$

Add the exponents 4 and 5.

$$3^{1}\times 4^{1}x^{4}y^{9}$$

Multiply 3 times 4.

$$12x^{4}y^{9}$$

Differentiate w.r.t. x

$$48x^{3}y^{9}$$