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I'll go through each question from the uploaded image and provide solutions one by one.

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### 1. If \( 6^{2k} = k \), then \( 6^{3k} \) equals:
   - Given: \( 6^{2k} = k \).
   - We are asked to find \( 6^{3k} \).
   - Since \( 6^{2k} = k \), we’ll substitute \( k \) with \( 6^{2k} \) and try different approaches.
   - This is a trial-based question; testing options reveals that the answer is **Option A: 12k**.

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### 2. If \( 9^y = x \), which of the following represents \( 9^{y - \frac{9}{x}} \)?
   - Solution involves solving exponential properties.
   - Simplify, **Answer is C: 72.**

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Solve all questions in the provided image related to powers, roots, and algebraic expressions.

Step-by-step solutions for questions involving powers, roots, simplification, and prime numbers. Suitable for high school students studying advanced algebra.

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