Solve (4x^4/8x^3)^4

$$( \frac { 4 x ^ { 4 } } { 8 x ^ { 3 } } ) ^ { 4 }$$

Evaluate

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

Solution Steps

Cancel out 4x^{3} in both numerator and denominator.

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

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

$$\frac{x^{4}}{2^{4}}$$

Calculate 2 to the power of 4 and get 16.

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

Expand

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

Solution Steps

Cancel out 4x^{3} in both numerator and denominator.

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

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

$$\frac{x^{4}}{2^{4}}$$

Calculate 2 to the power of 4 and get 16.

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