Solve a^2(6a^3b)(ab^5)

$$a ^ { 2 } ( 6 a ^ { 3 } b ) ( a b ^ { 5 } )$$

Evaluate

$$6\left(ab\right)^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$a^{2}a^{3}b^{1}\times 6^{1}a^{1}b^{5}$$

Use the Commutative Property of Multiplication.

$$a^{2}\times 6^{1}a^{3}a^{1}b^{1}b^{5}$$

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

$$a^{2}\times 6^{1}a^{3+1}b^{1+5}$$

Add the exponents 3 and 1.

$$a^{2}\times 6^{1}a^{4}b^{1+5}$$

Add the exponents 1 and 5.

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

Multiply a^{2} times 6.

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

Differentiate w.r.t. b

$$36b^{5}a^{6}$$