$$ \text { Compute the following and simplify your answer. } $$ $$ \left(\frac{3}{x}\right)^{2} $$

Question

UpStudy AI · Accepted Answer

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

1. **Apply the Exponent to Both the Numerator and the Denominator:**

When you raise a fraction to a power, both the numerator and the denominator are raised to that power.

$$
   \left(\frac{3}{x}\right)^{2} = \frac{3^{2}}{x^{2}}
   $$

2. **Calculate the Squares:**

- $$3^{2} = 9$$
   - $$x^{2} = x^{2}$$ (remains as is)

So,

$$
   \frac{3^{2}}{x^{2}} = \frac{9}{x^{2}}
   $$

3. **Final Simplified Form:**

$$
   \left(\frac{3}{x}\right)^{2} = \frac{9}{x^{2}}
   $$

**Answer:** $$\frac{9}{x^{2}}$$
$$\frac{9}{x^{2}}$$

\[ \text { Compute the following and simplify your answer. } \] \[ \left(\frac{3}{x}\right)^{2} \]