Solve 4a^2b^6*2a^2b^6

$$4 a ^ { 2 } b ^ { 6 } \cdot 2 a ^ { 2 } b ^ { 6 }$$

Evaluate

$$8a^{4}b^{12}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$4^{1}a^{2}b^{6}\times 2^{1}a^{2}b^{6}$$

Use the Commutative Property of Multiplication.

$$4^{1}\times 2^{1}a^{2}a^{2}b^{6}b^{6}$$

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

$$4^{1}\times 2^{1}a^{2+2}b^{6+6}$$

Add the exponents 2 and 2.

$$4^{1}\times 2^{1}a^{4}b^{6+6}$$

Add the exponents 6 and 6.

$$4^{1}\times 2^{1}a^{4}b^{12}$$

Multiply 4 times 2.

$$8a^{4}b^{12}$$

Differentiate w.r.t. a

$$32a^{3}b^{12}$$