To convert \( z^{\frac{1}{4}} \) into a radical expression, you need to express it in terms of a root. The exponent \( \frac{1}{4} \) corresponds to the fourth root. 

Therefore, \( z^{\frac{1}{4}} \) can be rewritten as:

\[
z^{\frac{1}{4}} = \sqrt[4]{z}
\]

This expression means you are taking the fourth root of \( z \).

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

Here are some related questions for further exploration:

1. How would you express \( z^{\frac{1}{3}} \) as a radical?
2. What is the radical form of \( z^{\frac{3}{4}} \)?
3. How do you convert \( z^{\frac{5}{2}} \) into a radical expression?
4. What is the general rule for converting exponents with fractions into radical expressions?
5. How would you simplify \( \sqrt[4]{z^4} \)?

**Tip:** When converting fractional exponents into radical expressions, the denominator of the fraction indicates the root, and the numerator indicates the power.

Learn how to convert the expression z^(1/4) into its equivalent radical form. This process involves understanding the laws of exponents and how to express fractional exponents as roots. Perfect for students in Grades 9-10 studying algebra and exponents.

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