Solve 1/3(2a^3b)(6b^3)

$$\frac { 1 } { 3 } ( 2 a ^ { 3 } b ) ( 6 b ^ { 3 } )$$

Evaluate

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

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$\frac{1}{3}\times 2a^{3}b^{4}\times 6$$

Multiply \frac{1}{3} and 2 to get \frac{2}{3}.

$$\frac{2}{3}a^{3}b^{4}\times 6$$

Multiply \frac{2}{3} and 6 to get 4.

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

Differentiate w.r.t. a

$$12a^{2}b^{4}$$