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The problem on the screen asks you to solve the equation \( z^3 = 125 \) by finding the cube root of 125.

To solve for \( z \):

\[
z = \sqrt[3]{125}
\]

The cube root of 125 is the number that, when multiplied by itself three times, equals 125. In this case:

\[
\sqrt[3]{125} = 5
\]

So, \( z = 5 \).

Would you like more details on cube roots or have any other questions?

Here are 5 related questions for further practice:
1. What is the cube root of 64?
2. Solve the equation \( x^3 = 8 \) for \( x \).
3. What is the cube root of 1000?
4. If \( y^3 = 27 \), what is the value of \( y \)?
5. How do you find the cube root of a negative number, for example, \( \sqrt[3]{-8} \)?

**Tip:** When dealing with cube roots, remember that they can be positive or negative, since the cube of a negative number is negative.

Look at this equation: z^3 = 125. What is z, the cube root of 125?

Learn how to solve the equation z^3 = 125 by finding the cube root of 125. This problem covers key algebraic concepts and cube root properties, suitable for students in Grades 7-8.

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