Solve 4x^2y(3x^5y^8)

$$4 x ^ { 2 } y ( 3 x ^ { 5 } y ^ { 8 } )$$

Evaluate

$$12x^{7}y^{9}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$4^{1}x^{2}y^{1}\times 3^{1}x^{5}y^{8}$$

Use the Commutative Property of Multiplication.

$$4^{1}\times 3^{1}x^{2}x^{5}y^{1}y^{8}$$

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

$$4^{1}\times 3^{1}x^{2+5}y^{1+8}$$

Add the exponents 2 and 5.

$$4^{1}\times 3^{1}x^{7}y^{1+8}$$

Add the exponents 1 and 8.

$$4^{1}\times 3^{1}x^{7}y^{9}$$

Multiply 4 times 3.

$$12x^{7}y^{9}$$

Differentiate w.r.t. x

$$84x^{6}y^{9}$$