Solve (ab^2)*(ab^2)*(ab^2)

$$( a b ^ { 2 } ) \cdot ( a b ^ { 2 } ) \cdot ( a b ^ { 2 } )$$

Evaluate

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

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 2 and 2.

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

Add the exponents 1 and 1.

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

Raise b to the power 2.

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

Differentiate w.r.t. a

$$3a^{2}b^{6}$$