The expression is: 

\[
\frac{1}{2^{\frac{1}{2}}} \div 9 \div 3
\]

Let's break it down step by step:

1. \( \frac{1}{2^{\frac{1}{2}}} \) simplifies to \( \frac{1}{\sqrt{2}} \).
2. Then divide \( \frac{1}{\sqrt{2}} \) by 9: \( \frac{1}{9\sqrt{2}} \).
3. Finally, divide by 3: \( \frac{1}{27\sqrt{2}} \).

The simplified result is:

\[
\frac{1}{27\sqrt{2}}
\]

Rationalizing the denominator:

\[
\frac{\sqrt{2}}{54}
\]

The final expression is \( \frac{\sqrt{2}}{54} \).

Would you like further details or have any questions? Here are some related questions to explore:

1. What does it mean to rationalize a denominator?
2. How do you simplify expressions involving roots?
3. How does dividing by a number affect the value of a fraction?
4. What are some common operations with fractional exponents?
5. Can you explain how to convert roots into exponents?

**Tip:** Rationalizing the denominator is often used to eliminate roots in the denominator to make the expression cleaner.

Learn how to simplify the expression 1/2^1/2/9/3 with step-by-step instructions. This problem covers key mathematical concepts such as exponents, radicals, and rationalizing the denominator. Ideal for students in Grades 9-12.

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