https://file.aiquickdraw.com/mathbot/file/1727187319203msii3tas.jpg

The equation shown in the image is \( x^3 = 125 \). To solve for \( x \), follow these steps:

### Step-by-Step Solution:
1. Start with the equation:  
   \[
   x^3 = 125
   \]
   
2. To solve for \( x \), take the cube root of both sides:  
   \[
   x = \sqrt[3]{125}
   \]

3. The cube root of 125 is 5, because \( 5^3 = 125 \).

Thus, the solution is:
\[
x = 5
\]

Would you like further details or have any questions?

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Here are 5 related questions to further explore:

1. How would you solve \( x^3 = 64 \)?
2. What is the cube root of a negative number like \( x^3 = -27 \)?
3. How can you solve higher power equations, such as \( x^4 = 16 \)?
4. What is the difference between cube roots and square roots?
5. How can you simplify \( x^3 + 8 = 0 \)?

**Tip:** When solving cube root problems, always check if the answer is correct by cubing your result!

Learn how to solve the cube root equation x^3 = 125 using cube root properties and exponent rules. Follow a step-by-step solution suitable for students in Grades 6-8.

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