Solve (rn)(rn^3)(n^2)

$$( r n ) ( r n ^ { 3 } ) ( n ^ { 2 } )$$

Evaluate

$$r^{2}n^{6}$$

Solution Steps

Multiply r and r to get r^{2}.

$$r^{2}nn^{3}n^{2}$$

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

$$r^{2}n^{4}n^{2}$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$r^{2}n^{6}$$

Differentiate w.r.t. r

$$2rn^{6}$$