Solve 2a^3b*3a^3b

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

Evaluate

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

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 3 and 3.

$$2^{1}\times 3^{1}a^{6}b^{1+1}$$

Add the exponents 1 and 1.

$$2^{1}\times 3^{1}a^{6}b^{2}$$

Multiply 2 times 3.

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

Differentiate w.r.t. a

$$36b^{2}a^{5}$$