Solve (2ab^2)(2ab^4)

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

Evaluate

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

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

$$2^{1+1}a^{1+1}b^{2+4}$$

Add the exponents 1 and 1.

$$2^{2}a^{1+1}b^{2+4}$$

Raise 2 to the power 2.

$$4a^{1+1}b^{2+4}$$

Add the exponents 1 and 1.

$$4a^{2}b^{2+4}$$

Add the exponents 2 and 4.

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

Differentiate w.r.t. a

$$8ab^{6}$$