Solve (-4a^2b)*0,5ab^3

$$( - 4 a ^ { 2 } b ) \cdot 0,5 a b ^ { 3 }$$

Evaluate

$$-2a^{3}b^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-4\right)^{1}a^{2}b^{1}\times 0,5^{1}a^{1}b^{3}$$

Use the Commutative Property of Multiplication.

$$\left(-4\right)^{1}\times 0,5^{1}a^{2}a^{1}b^{1}b^{3}$$

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

$$\left(-4\right)^{1}\times 0,5^{1}a^{2+1}b^{1+3}$$

Add the exponents 2 and 1.

$$\left(-4\right)^{1}\times 0,5^{1}a^{3}b^{1+3}$$

Add the exponents 1 and 3.

$$\left(-4\right)^{1}\times 0,5^{1}a^{3}b^{4}$$

Multiply -4 times 0,5.

$$-2a^{3}b^{4}$$

Differentiate w.r.t. a

$$-6a^{2}b^{4}$$