Solve (3x^2y)(10x^5y^3)

$$( 3 x ^ { 2 } y ) ( 10 x ^ { 5 } y ^ { 3 } )$$

Evaluate

$$30y^{4}x^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$3^{1}x^{2}y^{1}\times 10^{1}x^{5}y^{3}$$

Use the Commutative Property of Multiplication.

$$3^{1}\times 10^{1}x^{2}x^{5}y^{1}y^{3}$$

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

$$3^{1}\times 10^{1}x^{2+5}y^{1+3}$$

Add the exponents 2 and 5.

$$3^{1}\times 10^{1}x^{7}y^{1+3}$$

Add the exponents 1 and 3.

$$3^{1}\times 10^{1}x^{7}y^{4}$$

Multiply 3 times 10.

$$30x^{7}y^{4}$$

Differentiate w.r.t. x

$$210y^{4}x^{6}$$