Question: Simplify the expression: $$\left( \frac{-30}{6} \right)^2$$
1. **State the problem:** Simplify the expression $$\left( \frac{-30}{6} \right)^2$$.
2. **Recall the formula:** When you have a fraction raised to a power, you raise both numerator and denominator to that power: $$\left( \frac{a}{b} \right)^n = \frac{a^n}{b^n}$$.
3. **Calculate the fraction inside the parentheses:** $$\frac{-30}{6} = -5$$.
4. **Square the result:** $$(-5)^2 = (-5) \times (-5) = 25$$.
5. **Final answer:** The simplified value of $$\left( \frac{-30}{6} \right)^2$$ is $$25$$.