Solve for $$ x $$: $$ x^{\frac{2}{3}} = 9 $$

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To solve the equation $$ x^{\frac{2}{3}} = 9 $$, follow these steps:

1. **Understand the Equation:**
   
   The equation $$ x^{\frac{2}{3}} = 9 $$ can be interpreted as:
   $$
   \left( x^{\frac{1}{3}} \right)^2 = 9
   $$
   This means that the square of the cube root of $$ x $$ is 9.

2. **Take the Square Root of Both Sides:**

To isolate $$ x^{\frac{1}{3}} $$, take the square root of both sides:
   $$
   x^{\frac{1}{3}} = \pm \sqrt{9}
   $$
   $$
   x^{\frac{1}{3}} = \pm 3
   $$
   
3. **Raise Both Sides to the Power of 3:**

To solve for $$ x $$, raise both sides of the equation to the power of 3:
   $$
   \left( x^{\frac{1}{3}} \right)^3 = (\pm 3)^3
   $$
   $$
   x = \pm 27
   $$
   
4. **Conclusion:**

The solutions to the equation are:
   $$
   x = 27 \quad \text{and} \quad x = -27
   $$

**Answer:**  
The solutions are $$ x = 27 $$ and $$ x = -27 $$.
$$ x = 27 $$ or $$ x = -27 $$.

Solve for \( x \): \( x^{\frac{2}{3}} = 9 \)

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