Solve (u^4/-2u^3)^4

$$( \frac { u ^ { 4 } } { - 2 u ^ { 3 } } ) ^ { 4 }$$

Evaluate

$$\frac{u^{4}}{16}$$

Solution Steps

Cancel out u^{3} in both numerator and denominator.

$$\left(\frac{u}{-2}\right)^{4}$$

To raise \frac{u}{-2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{u^{4}}{\left(-2\right)^{4}}$$

Calculate -2 to the power of 4 and get 16.

$$\frac{u^{4}}{16}$$

Expand

$$\frac{u^{4}}{16}$$

Solution Steps

Cancel out u^{3} in both numerator and denominator.

$$\left(\frac{u}{-2}\right)^{4}$$

To raise \frac{u}{-2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{u^{4}}{\left(-2\right)^{4}}$$

Calculate -2 to the power of 4 and get 16.

$$\frac{u^{4}}{16}$$