Evaluate the following:
`((19)/(-31))^(2)`

Answer

To evaluate the expression \(\left(\frac{19}{-31}\right)^{2}\), we will follow these steps:

### Step 1: Rewrite the expression
The expression can be rewritten as:
\[ \left(\frac{19}{-31}\right)^{2} = \frac{19^{2}}{(-31)^{2}} \]

### Step 2: Calculate \(19^{2}\)
Now, we calculate \(19^{2}\):
\[ 19^{2} = 19 \times 19 = 361 \]

### Step 3: Calculate \((-31)^{2}\)
Next, we calculate \((-31)^{2}\):
\[ (-31)^{2} = (-31) \times (-31) = 961 \]

### Step 4: Combine the results
Now we can substitute the values we calculated back into the expression:
\[ \left(\frac{19}{-31}\right)^{2} = \frac{361}{961} \]

### Step 5: Final result
Thus, the final result of the expression \(\left(\frac{19}{-31}\right)^{2}\) is:
\[ \frac{361}{961} \]

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