Solve -6a^4b(+2a^3b^3)

$$- 6 a ^ { 4 } b ( + 2 a ^ { 3 } b ^ { 3 } )$$

Evaluate

$$-12b^{4}a^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-6\right)^{1}a^{4}b^{1}\times 2^{1}a^{3}b^{3}$$

Use the Commutative Property of Multiplication.

$$\left(-6\right)^{1}\times 2^{1}a^{4}a^{3}b^{1}b^{3}$$

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

$$\left(-6\right)^{1}\times 2^{1}a^{4+3}b^{1+3}$$

Add the exponents 4 and 3.

$$\left(-6\right)^{1}\times 2^{1}a^{7}b^{1+3}$$

Add the exponents 1 and 3.

$$\left(-6\right)^{1}\times 2^{1}a^{7}b^{4}$$

Multiply -6 times 2.

$$-12a^{7}b^{4}$$

Differentiate w.r.t. a

$$-84b^{4}a^{6}$$