Solve 12ab^3*5a^2b

$$12 a b ^ { 3 } \times 5 a ^ { 2 } b$$

Evaluate

$$60a^{3}b^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$12^{1}a^{1}b^{3}\times 5^{1}a^{2}b^{1}$$

Use the Commutative Property of Multiplication.

$$12^{1}\times 5^{1}a^{1}a^{2}b^{3}b^{1}$$

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

$$12^{1}\times 5^{1}a^{1+2}b^{3+1}$$

Add the exponents 1 and 2.

$$12^{1}\times 5^{1}a^{3}b^{3+1}$$

Add the exponents 3 and 1.

$$12^{1}\times 5^{1}a^{3}b^{4}$$

Multiply 12 times 5.

$$60a^{3}b^{4}$$

Differentiate w.r.t. a

$$180a^{2}b^{4}$$