Solve (-3a^2b^-1)(-5a^3b^2)

$$( - 3 a ^ { 2 } b ^ { - 1 } ) ( - 5 a ^ { 3 } b ^ { 2 } )$$

Evaluate

$$15ba^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 2 and 3.

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

Add the exponents -1 and 2.

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

Multiply -3 times -5.

$$15a^{5}b$$

Differentiate w.r.t. a

$$75ba^{4}$$