Solve (27a^2b^3)(ab^2)/3

$$\frac { ( 27 a ^ { 2 } b ^ { 3 } ) ( a b ^ { 2 } ) } { 3 }$$

Evaluate

$$9a^{3}b^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{27a^{3}b^{3}b^{2}}{3}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\frac{27a^{3}b^{5}}{3}$$

Divide 27a^{3}b^{5} by 3 to get 9a^{3}b^{5}.

$$9a^{3}b^{5}$$

Differentiate w.r.t. a

$$27a^{2}b^{5}$$