Solve (x^2/x^3)^4

$$( \frac { x ^ { 2 } } { x ^ { 3 } } ) ^ { 4 }$$

Evaluate

$$\frac{1}{x^{4}}$$

Solution Steps

Rewrite x^{3} as x^{2}x. Cancel out x^{2} in both numerator and denominator.

$$\left(\frac{1}{x}\right)^{4}$$

To raise \frac{1}{x} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{1^{4}}{x^{4}}$$

Calculate 1 to the power of 4 and get 1.

$$\frac{1}{x^{4}}$$

Expand

$$\frac{1}{x^{4}}$$

Solution Steps

Rewrite x^{3} as x^{2}x. Cancel out x^{2} in both numerator and denominator.

$$\left(\frac{1}{x}\right)^{4}$$

To raise \frac{1}{x} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{1^{4}}{x^{4}}$$

Calculate 1 to the power of 4 and get 1.

$$\frac{1}{x^{4}}$$