Solve 2a^2b*3ab^2=

$$2 a ^ { 2 } b \cdot 3 a b ^ { 2 } =$$

Evaluate

$$6\left(ab\right)^{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$2^{1}a^{2}b^{1}\times 3^{1}a^{1}b^{2}$$

Use the Commutative Property of Multiplication.

$$2^{1}\times 3^{1}a^{2}a^{1}b^{1}b^{2}$$

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

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

Add the exponents 2 and 1.

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

Add the exponents 1 and 2.

$$2^{1}\times 3^{1}a^{3}b^{3}$$

Multiply 2 times 3.

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

Differentiate w.r.t. a

$$18a^{2}b^{3}$$