Solve (2ab)(8ab)

$$( 2 a b ) ( 8 a b )$$

Evaluate

$$16\left(ab\right)^{2}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$2^{1}a^{1}b^{1}\times 8^{1}a^{1}b^{1}$$

Use the Commutative Property of Multiplication.

$$2^{1}\times 8^{1}a^{1}a^{1}b^{1}b^{1}$$

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

$$2^{1}\times 8^{1}a^{1+1}b^{1+1}$$

Add the exponents 1 and 1.

$$2^{1}\times 8^{1}a^{2}b^{1+1}$$

Add the exponents 1 and 1.

$$2^{1}\times 8^{1}a^{2}b^{2}$$

Multiply 2 times 8.

$$16a^{2}b^{2}$$

Differentiate w.r.t. a

$$32ab^{2}$$