The expression \( x^{2^2} \) can be simplified by evaluating the exponentiation from right to left, according to the order of operations (exponentiation is performed from top to bottom).

1. First, evaluate the exponentiation on the right: 
   \[
   2^2 = 4
   \]

2. Now substitute back into the original expression:
   \[
   x^{2^2} = x^4
   \]

So, the simplified expression is:
\[
x^4
\]

Would you like more details on how this works or have any questions?

Here are 5 related questions you might find interesting:
1. What happens if you have \( x^{3^2} \)?
2. How do you simplify \( (x^2)^3 \)?
3. What is the difference between \( x^2^3 \) and \( (x^2)^3 \)?
4. Can you solve \( x^{2^3} = 64 \) for \( x \)?
5. What is the result of \( x^{(2+2)} \)?

**Tip:** Remember that exponentiation is a right-associative operation, meaning you should start from the rightmost exponent and work your way left.

Discover how to simplify the exponentiation expression x^2^2 by applying the right-associative rule of exponentiation. This solution breaks down the process step-by-step and explains the key concepts of exponentiation and order of operations. Ideal for students in Grades 8-10.

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