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

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

Evaluate

$$10a^{5}b^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 3 and 2.

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

Add the exponents 4 and 3.

$$\left(-2\right)^{1}\left(-5\right)^{1}a^{5}b^{7}$$

Multiply -2 times -5.

$$10a^{5}b^{7}$$

Differentiate w.r.t. a

$$50a^{4}b^{7}$$