Solve -2ab*4a^2b

$$- 2 a b \times 4 a ^ { 2 } b$$

Evaluate

$$-8b^{2}a^{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 1 and 2.

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

Add the exponents 1 and 1.

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

Multiply -2 times 4.

$$-8a^{3}b^{2}$$

Differentiate w.r.t. a

$$-24\left(ab\right)^{2}$$