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The given expression simplifies to \( \frac{27}{16} \).

Would you like further explanation or have any questions? Here are some related problems for further practice:

1. Simplify \( \frac{2^3 \cdot 2^{-1}}{2^2} \).
2. Evaluate \( \frac{5^0 \cdot 5^3 \cdot 10^{-2}}{5^{-1} \cdot 10^1} \).
3. Simplify \( \frac{x^4 \cdot x^{-3}}{x^{-1}} \).
4. Solve \( \frac{7^0 \cdot 7^2 \cdot 9^{-3}}{7^{-1} \cdot 9^{-2}} \).
5. Simplify \( \frac{(2a^3b^{-2})}{a^{-1}b^0} \).

**Tip:** When dividing or multiplying powers with the same base, remember to add or subtract the exponents!

Simplify the expression \( \frac{3^0 \cdot 3^2 \cdot 4^{-4}}{3^{-1} \cdot 4^{-2}} \).

Learn how to simplify the expression \( \frac{3^0 \cdot 3^2 \cdot 4^{-4}}{3^{-1} \cdot 4^{-2}} \) using exponent rules. This problem covers key concepts like multiplying and dividing exponents, and negative exponents. Suitable for Grades 9-10 students.

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