Solve (5x^4y^7)(8x^3y)

$$( 5 x ^ { 4 } y ^ { 7 } ) ( 8 x ^ { 3 } y )$$

Evaluate

$$40x^{7}y^{8}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$5^{1}x^{4}y^{7}\times 8^{1}x^{3}y^{1}$$

Use the Commutative Property of Multiplication.

$$5^{1}\times 8^{1}x^{4}x^{3}y^{7}y^{1}$$

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

$$5^{1}\times 8^{1}x^{4+3}y^{7+1}$$

Add the exponents 4 and 3.

$$5^{1}\times 8^{1}x^{7}y^{7+1}$$

Add the exponents 7 and 1.

$$5^{1}\times 8^{1}x^{7}y^{8}$$

Multiply 5 times 8.

$$40x^{7}y^{8}$$

Differentiate w.r.t. x

$$280x^{6}y^{8}$$