https://file.aiquickdraw.com/mathbot/file/17274096783191p5ncv8j.jpg

The equation in the image is:

\[
x^4 = \underline{\ \ \ } \ \text{when} \ x = 2
\]

To solve this, we substitute \(x = 2\) into the equation \(x^4\):

\[
2^4 = 2 \times 2 \times 2 \times 2 = 16
\]

Thus, the answer is:

\[
x^4 = 16 \ \text{when} \ x = 2
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What would \(x^4\) be when \(x = 3\)?
2. How do you calculate higher powers of numbers, like \(x^5\)?
3. What is the general rule for evaluating \(x^n\) when \(n\) is a positive integer?
4. How does raising a number to a negative power work, e.g., \(x^{-4}\)?
5. What is the difference between raising a number to an integer power versus a fractional power?

**Tip:** To quickly evaluate powers of 2, recall the first few values: \(2^2 = 4\), \(2^3 = 8\), \(2^4 = 16\), etc.

Learn how to solve the equation x^4 when x = 2 by calculating the power of 2. This problem covers key algebraic concepts related to exponents and powers. Suitable for students in Grades 6-8.

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