The expression \( 32^{\frac{1}{5}} \) represents the fifth root of 32.

To simplify:

\[
32^{\frac{1}{5}} = \sqrt[5]{32}
\]

Since \( 32 = 2^5 \), the fifth root of 32 is:

\[
\sqrt[5]{32} = \sqrt[5]{2^5} = 2
\]

Thus, \( 32^{\frac{1}{5}} = 2 \).

Would you like further details on this or have any other questions?

Here are five related questions for practice:
1. Simplify \( 64^{\frac{1}{6}} \).
2. What is \( 81^{\frac{1}{4}} \)?
3. Simplify \( 243^{\frac{1}{5}} \).
4. How would you express \( 16^{\frac{1}{4}} \) as a whole number?
5. What is the value of \( 8^{\frac{1}{3}} \)?

**Tip:** Remember that fractional exponents like \( a^{\frac{1}{n}} \) represent the \( n \)th root of \( a \).

Explore how to simplify and understand the expression 32 raised to the power of 1/5. This problem involves concepts of exponents and roots, providing a clear step-by-step solution. Suitable for students in Grades 7-9.

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