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

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

Evaluate

$$a^{8}b^{10}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

$$a^{2}b^{4}a^{3+3}b^{3+3}$$

Add the exponents 3 and 3.

$$a^{2}b^{4}a^{6}b^{3+3}$$

Add the exponents 3 and 3.

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

Differentiate w.r.t. a

$$8a^{7}b^{10}$$