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

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

Evaluate

$$6a^{3}b^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 1 and 2.

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

Add the exponents 1 and 3.

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

Multiply 2 times 3.

$$6a^{3}b^{4}$$

Differentiate w.r.t. a

$$18a^{2}b^{4}$$