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The simplified result of the expression \(\frac{2^4 \cdot 4}{\sqrt{2}}\) is:

\[
32\sqrt{2}
\]

Would you like further explanation on how it was simplified, or do you have any other questions?

Here are five related questions to explore further:
1. How can you rationalize a denominator with a square root?
2. What are the properties of exponents and roots used in this problem?
3. How does multiplying by \(\sqrt{2}\) affect the result?
4. Can you express \(32\sqrt{2}\) as a decimal approximation?
5. What are other ways to simplify radical expressions?

**Tip:** When simplifying expressions with square roots in the denominator, it's often useful to rationalize the denominator by multiplying by the appropriate radical.

Simplify the expression: (2^4 * 4) / √2

This problem involves simplifying the expression (2^4 * 4) / √2 by applying exponent rules and rationalizing the denominator. Learn how to calculate and simplify radicals step by step. Suitable for students in Grades 9-11.

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