Solve (-2a^5b^3)*(-4a^9b^5)

$$( - 2 a ^ { 5 } b ^ { 3 } ) \cdot ( - 4 a ^ { 9 } b ^ { 5 } )$$

Evaluate

$$8b^{8}a^{14}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-2\right)^{1}a^{5}b^{3}\left(-4\right)^{1}a^{9}b^{5}$$

Use the Commutative Property of Multiplication.

$$\left(-2\right)^{1}\left(-4\right)^{1}a^{5}a^{9}b^{3}b^{5}$$

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

$$\left(-2\right)^{1}\left(-4\right)^{1}a^{5+9}b^{3+5}$$

Add the exponents 5 and 9.

$$\left(-2\right)^{1}\left(-4\right)^{1}a^{14}b^{3+5}$$

Add the exponents 3 and 5.

$$\left(-2\right)^{1}\left(-4\right)^{1}a^{14}b^{8}$$

Multiply -2 times -4.

$$8a^{14}b^{8}$$

Differentiate w.r.t. a

$$112b^{8}a^{13}$$