Solve 4a^3b^4*3a^2b^4

$$4 a ^ { 3 } b ^ { 4 } \cdot 3 a ^ { 2 } b ^ { 4 }$$

Evaluate

$$12a^{5}b^{8}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 3 and 2.

$$4^{1}\times 3^{1}a^{5}b^{4+4}$$

Add the exponents 4 and 4.

$$4^{1}\times 3^{1}a^{5}b^{8}$$

Multiply 4 times 3.

$$12a^{5}b^{8}$$

Differentiate w.r.t. a

$$60a^{4}b^{8}$$