Solve -8ab^2*5a^2b^3

$$- 8 a b ^ { 2 } \cdot 5 a ^ { 2 } b ^ { 3 }$$

Evaluate

$$-40a^{3}b^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-8\right)^{1}a^{1}b^{2}\times 5^{1}a^{2}b^{3}$$

Use the Commutative Property of Multiplication.

$$\left(-8\right)^{1}\times 5^{1}a^{1}a^{2}b^{2}b^{3}$$

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

$$\left(-8\right)^{1}\times 5^{1}a^{1+2}b^{2+3}$$

Add the exponents 1 and 2.

$$\left(-8\right)^{1}\times 5^{1}a^{3}b^{2+3}$$

Add the exponents 2 and 3.

$$\left(-8\right)^{1}\times 5^{1}a^{3}b^{5}$$

Multiply -8 times 5.

$$-40a^{3}b^{5}$$

Differentiate w.r.t. a

$$-120a^{2}b^{5}$$