Solve 2/n^2n+5/n

$$\frac { 2 } { n ^ { 2 } n } + \frac { 5 } { n }$$

Evaluate

$$\frac{5}{n}+\frac{2}{n^{3}}$$

Solution Steps

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

$$\frac{2}{n^{3}}+\frac{5}{n}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of n^{3} and n is n^{3}. Multiply \frac{5}{n} times \frac{n^{2}}{n^{2}}.

$$\frac{2}{n^{3}}+\frac{5n^{2}}{n^{3}}$$

Since \frac{2}{n^{3}} and \frac{5n^{2}}{n^{3}} have the same denominator, add them by adding their numerators.

$$\frac{2+5n^{2}}{n^{3}}$$

Factor

$$\frac{5n^{2}+2}{nn^{2}}$$