Solve (-8x^3y^6)(5x^4y^9)

$$( - 8 x ^ { 3 } y ^ { 6 } ) ( 5 x ^ { 4 } y ^ { 9 } )$$

Evaluate

$$-40x^{7}y^{15}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-8\right)^{1}x^{3}y^{6}\times 5^{1}x^{4}y^{9}$$

Use the Commutative Property of Multiplication.

$$\left(-8\right)^{1}\times 5^{1}x^{3}x^{4}y^{6}y^{9}$$

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

$$\left(-8\right)^{1}\times 5^{1}x^{3+4}y^{6+9}$$

Add the exponents 3 and 4.

$$\left(-8\right)^{1}\times 5^{1}x^{7}y^{6+9}$$

Add the exponents 6 and 9.

$$\left(-8\right)^{1}\times 5^{1}x^{7}y^{15}$$

Multiply -8 times 5.

$$-40x^{7}y^{15}$$

Differentiate w.r.t. x

$$-280x^{6}y^{15}$$