Solve (10/n)^4-5

$$( \frac { 10 } { n } ) ^ { 4 } - 5$$

Evaluate

$$-5+\frac{10000}{n^{4}}$$

Short Solution Steps

To raise \frac{10}{n} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{10^{4}}{n^{4}}-5$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{n^{4}}{n^{4}}.

$$\frac{10^{4}}{n^{4}}-\frac{5n^{4}}{n^{4}}$$

Since \frac{10^{4}}{n^{4}} and \frac{5n^{4}}{n^{4}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10^{4}-5n^{4}}{n^{4}}$$

Combine like terms in 10^{4}-5n^{4}.

$$\frac{10000-5n^{4}}{n^{4}}$$

Expand

$$-5+\frac{10000}{n^{4}}$$

Short Solution Steps

To raise \frac{10}{n} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{10^{4}}{n^{4}}-5$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{n^{4}}{n^{4}}.

$$\frac{10^{4}}{n^{4}}-\frac{5n^{4}}{n^{4}}$$

Since \frac{10^{4}}{n^{4}} and \frac{5n^{4}}{n^{4}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10^{4}-5n^{4}}{n^{4}}$$

Combine like terms in 10^{4}-5n^{4}.

$$\frac{10000-5n^{4}}{n^{4}}$$