2. Simplify $$ \left(3 x^{3} y^{4}\right)^{2} $$

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To simplify the expression $$ \left(3 x^{3} y^{4}\right)^{2} $$, follow these steps:

1. **Apply the Power of a Product Rule**:
   
   The rule $$(ab)^n = a^n b^n$$ allows us to distribute the exponent to each factor inside the parentheses.
   
   $$
   \left(3 x^{3} y^{4}\right)^{2} = 3^{2} \cdot \left(x^{3}\right)^{2} \cdot \left(y^{4}\right)^{2}
   $$

2. **Simplify Each Term Individually**:
   
   - $$3^{2} = 9$$
   - $$\left(x^{3}\right)^{2} = x^{3 \times 2} = x^{6}$$ (using the power of a power rule: $$(a^{m})^{n} = a^{m \times n}$$)
   - $$\left(y^{4}\right)^{2} = y^{4 \times 2} = y^{8}$$
   
   Putting it all together:
   
   $$
   9 \cdot x^{6} \cdot y^{8}
   $$

3. **Final Simplified Form**:
   
   $$
   9x^{6}y^{8}
   $$

**Answer:** $$9x^{6}y^{8}$$
$$9x^{6}y^{8}$$

2. Simplify \( \left(3 x^{3} y^{4}\right)^{2} \)

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