Solve (5x^2y)(3xy^5)=

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

Evaluate

$$15x^{3}y^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 2 and 1.

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

Add the exponents 1 and 5.

$$5^{1}\times 3^{1}x^{3}y^{6}$$

Multiply 5 times 3.

$$15x^{3}y^{6}$$

Differentiate w.r.t. x

$$45x^{2}y^{6}$$