To compute the expression \(\frac{n}{k} \cdot \left(\frac{1}{n}\right)^k\), let's break it down step by step.

### Expression:
\[
\frac{n}{k} \cdot \left(\frac{1}{n}\right)^k
\]

1. **Power of a fraction**: 
   \[
   \left(\frac{1}{n}\right)^k = \frac{1^k}{n^k} = \frac{1}{n^k}
   \]
   
2. **Multiplication**:
   \[
   \frac{n}{k} \cdot \frac{1}{n^k} = \frac{n \cdot 1}{k \cdot n^k} = \frac{n}{k \cdot n^k}
   \]

3. **Simplification**:
   \[
   \frac{n}{k \cdot n^k} = \frac{1}{k \cdot n^{k-1}}
   \]

Thus, the simplified form of the expression is:
\[
\frac{1}{k \cdot n^{k-1}}
\]

Would you like further details or have any questions? Here are some related problems to consider:

1. Simplify \(\frac{n}{k} \cdot \left(\frac{2}{n}\right)^k\).
2. Compute \(\frac{n}{k} \cdot \left(\frac{1}{2n}\right)^k\).
3. Expand and simplify \(\frac{n}{2k} \cdot \left(\frac{1}{n^2}\right)^k\).
4. Evaluate the expression for specific values of \(n\) and \(k\), like \(n = 5\) and \(k = 2\).
5. How does the expression behave as \(n\) approaches infinity?

### Tip:
When dealing with fractions raised to a power, always simplify the powers first before multiplying them with other fractions.

Learn how to compute the expression (n/k)*(1/n)^k step-by-step with a detailed mathematical solution. This problem involves fractional powers and multiplication of fractions, suitable for students in Grades 9-12.

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