Solve (9a^0b)(1/3ab^3)

$$( 9 a ^ { 0 } b ) ( \frac { 1 } { 3 } a b ^ { 3 } )$$

Evaluate

$$3ab^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$9^{1}a^{0}b^{1}\times \left(\frac{1}{3}\right)^{1}a^{1}b^{3}$$

Use the Commutative Property of Multiplication.

$$9^{1}\times \left(\frac{1}{3}\right)^{1}a^{0}a^{1}b^{1}b^{3}$$

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

$$9^{1}\times \left(\frac{1}{3}\right)^{1}a^{1}b^{1+3}$$

Add the exponents 1 and 3.

$$9^{1}\times \left(\frac{1}{3}\right)^{1}ab^{4}$$

Multiply 9 times \frac{1}{3}.

$$3ab^{4}$$

Differentiate w.r.t. a

$$3b^{4}$$