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### 11. Diketahui \( x = -2 \), \( y = 2 \), dan \( z = 3 \), maka hasil dari \[ (xy^3)^2 \cdot \left( \frac{yz^{-1}}{z^2} \right)^{-3} \] adalah:

**Solution**:
1. \( (xy^3)^2 = (-2 \cdot 2^3)^2 = (-2 \cdot 8)^2 = (-16)^2 = 256 \).
2. Simplify \( \frac{yz^{-1}}{z^2} = \frac{2 \cdot 3^{-1}}{3^2} = \frac{2 \cdot \frac{1}{3}}{9} = \frac{2}{27} \).
3. Raise it to the power of \(-3\): \( \left( \frac{2}{27} \right)^{-3} = \frac{27^3}{2^3} = \frac{19683}{8} \).
4. Multiply \( 256 \cdot \frac{19683}{8} = \frac{256 \cdot 19683}{8} = 629856 \div 8 = 78732 \).
5. Answer: \( 78732 \).

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Diketahui x = -2, y = 2, dan z = 3 maka hasil dari (xy^3)^2 (yz^{-1}/z^2)^{-3} adalah...

Learn how to simplify the expression (xy^3)^2 (yz^{-1}/z^2)^{-3) step by step using laws of exponents and algebraic rules. This math problem is suitable for students in Grades 8-10 and covers core concepts in exponentiation and algebraic simplification.

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