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

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

Evaluate

$$\frac{1}{a^{2}}$$

Solution Steps

Rewrite a^{4} as a^{3}a. Cancel out a^{3} in both numerator and denominator.

$$\left(\frac{1}{a}\right)^{2}$$

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

$$\frac{1^{2}}{a^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{1}{a^{2}}$$

Expand

$$\frac{1}{a^{2}}$$

Solution Steps

Rewrite a^{4} as a^{3}a. Cancel out a^{3} in both numerator and denominator.

$$\left(\frac{1}{a}\right)^{2}$$

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

$$\frac{1^{2}}{a^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{1}{a^{2}}$$