Evaluate : `((3)/(4))^(2)`

Answer

To evaluate \(\left(\frac{3}{4}\right)^{2}\), we can follow these steps:

### Step 1: Write the expression
We start with the expression:
\[ \left(\frac{3}{4}\right)^{2} \]

### Step 2: Apply the exponent
When we square a fraction, we square both the numerator and the denominator:
\[ \left(\frac{3}{4}\right)^{2} = \frac{3^{2}}{4^{2}} \]

### Step 3: Calculate the squares
Now we calculate the squares of the numerator and the denominator:
\[ 3^{2} = 9 \quad \text{and} \quad 4^{2} = 16 \]

### Step 4: Write the new fraction
Substituting the squared values back into the fraction gives us:
\[ \frac{3^{2}}{4^{2}} = \frac{9}{16} \]

### Step 5: Final answer
Thus, the evaluation of \(\left(\frac{3}{4}\right)^{2}\) is:
\[ \frac{9}{16} \]

### Decimal Conversion (optional)
If you want to express \(\frac{9}{16}\) in decimal form, you can divide 9 by 16:
\[ \frac{9}{16} = 0.5625 \]

### Summary of the solution:
The evaluated result of \(\left(\frac{3}{4}\right)^{2}\) is \(\frac{9}{16}\) or \(0.5625\) in decimal form.

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