The expression "-5/n au carré" means that you are squaring the fraction \(-\frac{5}{n}\).

When squaring \(-\frac{5}{n}\), you apply the exponent to both the numerator and the denominator:

\[
\left(-\frac{5}{n}\right)^2 = \frac{(-5)^2}{n^2} = \frac{25}{n^2}
\]

Thus, the result is:

\[
\frac{25}{n^2}
\]

Would you like more details on how exponents work with fractions?

Here are 5 related questions for further exploration:
1. What happens if \( n \) is negative in the expression \(\frac{25}{n^2}\)?
2. How would you handle the expression \(\left(-\frac{5}{n}\right)^3\)?
3. What is the square of a fraction like \(\frac{a}{b}\) in general terms?
4. Can you simplify \(\left(-\frac{5}{n}\right)^2\) if \( n = 2 \)?
5. How do you solve an equation involving \(\left(-\frac{5}{n}\right)^2 = k\)?

**Tip**: When squaring a negative fraction, the result is always positive since squaring eliminates the negative sign.

Explore how to square the fraction -5/n with a detailed step-by-step explanation. This problem illustrates key algebraic concepts like exponents and fractions, suitable for students in Grades 8-10.

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