The Power Rule states that if two expressions are equal, their powers will also be equal when raised to the same exponent. In other words, if $a = b$, then $a^n = b^n$, where $n$ is any real number. However, this rule is valid under certain conditions; for example, when $n$ is an even power, you must ensure that the values are non-negative to avoid introducing extraneous solutions.

Now, addressing the "undo" operations:

1. To undo addition, you perform subtraction.
   For example, to solve $x + 5 = 9$, subtract 5 from both sides:
   $x + 5 - 5 = 9 - 5$, so $x = 4$.

2. To undo multiplication, you perform division.
   For example, to solve $4x = 12$, divide both sides by 4:
   $\frac{4x}{4} = \frac{12}{4}$, so $x = 3$.

3. To undo a square root, you perform squaring.
   For example, to solve $\sqrt{x} = 5$, square both sides:
   $(\sqrt{x})^2 = 5^2$, so $x = 25$.

Would you like a more detailed explanation for any of these concepts?

Here are five related questions to expand your understanding:

1. Why must we be cautious when raising both sides of an equation to an even power?
2. What happens if we incorrectly apply the power rule to an inequality (e.g., $a > b$)?
3. How do you reverse division or subtraction in equations?
4. What is the mathematical significance of squaring versus cubing a number?
5. Can squaring both sides of an equation introduce extraneous solutions? How can we verify them?

Tip: Always double-check for extraneous solutions after applying the power rule or undoing square roots.