Solve (-m/n^5)^4

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

Evaluate

$$\frac{m^{4}}{n^{20}}$$

Solution Steps

Expand \left(-\frac{m}{n^{5}}\right)^{4}.

$$\left(-1\right)^{4}\times \left(\frac{m}{n^{5}}\right)^{4}$$

Calculate -1 to the power of 4 and get 1.

$$1\times \left(\frac{m}{n^{5}}\right)^{4}$$

To raise \frac{m}{n^{5}} to a power, raise both numerator and denominator to the power and then divide.

$$1\times \frac{m^{4}}{\left(n^{5}\right)^{4}}$$

Express 1\times \frac{m^{4}}{\left(n^{5}\right)^{4}} as a single fraction.

$$\frac{m^{4}}{\left(n^{5}\right)^{4}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 4 to get 20.

$$\frac{m^{4}}{n^{20}}$$

Expand

$$\frac{m^{4}}{n^{20}}$$

Solution Steps

Expand \left(-\frac{m}{n^{5}}\right)^{4}.

$$\left(-1\right)^{4}\times \left(\frac{m}{n^{5}}\right)^{4}$$

Calculate -1 to the power of 4 and get 1.

$$1\times \left(\frac{m}{n^{5}}\right)^{4}$$

To raise \frac{m}{n^{5}} to a power, raise both numerator and denominator to the power and then divide.

$$1\times \frac{m^{4}}{\left(n^{5}\right)^{4}}$$

Express 1\times \frac{m^{4}}{\left(n^{5}\right)^{4}} as a single fraction.

$$\frac{m^{4}}{\left(n^{5}\right)^{4}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 4 to get 20.

$$\frac{m^{4}}{n^{20}}$$