Solve -15a^7b^4*(-12a^5b

$$- 15 a ^ { 7 } b ^ { 4 } \times ( - 12 a ^ { 5 } b$$

Evaluate

$$180b^{5}a^{12}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-15\right)^{1}a^{7}b^{4}\left(-12\right)^{1}a^{5}b^{1}$$

Use the Commutative Property of Multiplication.

$$\left(-15\right)^{1}\left(-12\right)^{1}a^{7}a^{5}b^{4}b^{1}$$

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

$$\left(-15\right)^{1}\left(-12\right)^{1}a^{7+5}b^{4+1}$$

Add the exponents 7 and 5.

$$\left(-15\right)^{1}\left(-12\right)^{1}a^{12}b^{4+1}$$

Add the exponents 4 and 1.

$$\left(-15\right)^{1}\left(-12\right)^{1}a^{12}b^{5}$$

Multiply -15 times -12.

$$180a^{12}b^{5}$$

Differentiate w.r.t. a

$$2160b^{5}a^{11}$$