Solve ab^2abb^4a^3

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

Evaluate

$$a^{5}b^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 2 and 4.

$$a^{1}b^{1}b^{6}a^{1+3}$$

Add the exponents 1 and 3.

$$a^{1}b^{1}b^{6}a^{4}$$

Multiply a times b.

$$abb^{6}a^{4}$$

Differentiate w.r.t. b

$$7a^{5}b^{6}$$