Solve (-10a^3b^2)(+7ab^4)

$$( - 10 a ^ { 3 } b ^ { 2 } ) ( + 7 a b ^ { 4 } )$$

Evaluate

$$-70a^{4}b^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-10\right)^{1}a^{3}b^{2}\times 7^{1}a^{1}b^{4}$$

Use the Commutative Property of Multiplication.

$$\left(-10\right)^{1}\times 7^{1}a^{3}a^{1}b^{2}b^{4}$$

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

$$\left(-10\right)^{1}\times 7^{1}a^{3+1}b^{2+4}$$

Add the exponents 3 and 1.

$$\left(-10\right)^{1}\times 7^{1}a^{4}b^{2+4}$$

Add the exponents 2 and 4.

$$\left(-10\right)^{1}\times 7^{1}a^{4}b^{6}$$

Multiply -10 times 7.

$$-70a^{4}b^{6}$$

Differentiate w.r.t. a

$$-280a^{3}b^{6}$$