Solve (+4a^2b)(+7ab^2)

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

Evaluate

$$28\left(ab\right)^{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$4^{1}a^{2}b^{1}\times 7^{1}a^{1}b^{2}$$

Use the Commutative Property of Multiplication.

$$4^{1}\times 7^{1}a^{2}a^{1}b^{1}b^{2}$$

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

$$4^{1}\times 7^{1}a^{2+1}b^{1+2}$$

Add the exponents 2 and 1.

$$4^{1}\times 7^{1}a^{3}b^{1+2}$$

Add the exponents 1 and 2.

$$4^{1}\times 7^{1}a^{3}b^{3}$$

Multiply 4 times 7.

$$28a^{3}b^{3}$$

Differentiate w.r.t. a

$$84a^{2}b^{3}$$