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The given expression simplifies to approximately \(0.833\).

Would you like more details or have any questions? Here are some related questions to expand your understanding:

1. What are the properties of exponents used in simplifying the given expression?
2. How can we simplify expressions involving fractional exponents?
3. What are some common applications of fractional exponents in real-world problems?
4. Can the expression be simplified further using radical notation?
5. How does changing the base numbers affect the result of the expression?

**Tip:** When working with exponents, remember that fractional exponents represent roots, e.g., \(x^{1/2}\) is the square root of \(x\).

Simplify the expression (16^(3/4) * 25^(1/2)) / (36^(1/2) * 4^(3/2))

Learn how to simplify the expression (16^(3/4) * 25^(1/2)) / (36^(1/2) * 4^(3/2)). This problem uses fractional exponents and covers the key properties of exponents, including multiplication and division rules. Suitable for students in Grades 9-12.

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