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If p is 16, and q is 729 and r is 5 what's the answer?

The result of the given expression \(\frac{p^3 \cdot q^{-\frac{1}{3}}}{r-1}\) with \(p = 16\), \(q = 729\), and \(r = 5\) is approximately 113.78.

Looking at the options, none match this value exactly, so it seems there's a discrepancy or rounding issue. Could you confirm if the question or values are correct?

Would you like me to explain the detailed steps involved, or do you have any further questions?

Here are some related questions:
1. How is the concept of exponents applied in this problem?
2. Why do we subtract 1 from \(r\) in the denominator?
3. How does the negative exponent in \(q^{-1/3}\) affect the calculation?
4. What are the typical rules for simplifying expressions like this one?
5. Could there be alternative interpretations of the expression?

**Tip:** Always check whether you need to round your answers when working with decimal results in multiple-choice questions!

Jika p = 16, q = 729, dan r = 5, hasil dari \( \frac{p^3 \cdot q^{-\frac{1}{3}}}{r-1} \) adalah?

Learn how to solve an algebraic expression involving exponents with p = 16, q = 729, and r = 5. This problem requires knowledge of exponentiation, fractional exponents, and algebraic manipulation. Suitable for students in Grades 9-12.

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