Find the Missing Exponent: (1/5)^□ = (1/5) × (1/5) × (1/5) × (1/5) × (1/5)

Fill in the missing number:

$\frac{1}{5}^☐=\frac{1}{5}\cdot\frac{1}{5}\cdot\frac{1}{5}\cdot\frac{1}{5}\cdot\frac{1}{5}$

To solve this problem, we'll follow these steps:

• Step 1: Count the number of times $\frac{1}{5}$ is used as a factor in the product given.
• Step 2: Use this count as the exponent in the expression $\frac{1}{5}^☐$.

Now, let's work through each step:
Step 1: The expression $\frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5}$ shows that the base $\frac{1}{5}$ is used 5 times.
Step 2: Therefore, the exponent that makes the expression $\left( \frac{1}{5} \right)^☐$ equal to the product is 5.

Therefore, the missing number in the expression $\frac{1}{5}^☐$ is $5$.