Evaluate the expression. $$ 1 imes\left(\frac{3}{4}-\frac{1}{2} ight)^{2} $$

Question

Evaluate the expression. $$ 1 	imes\left(\frac{3}{4}-\frac{1}{2}ight)^{2} $$

UpStudy AI · Accepted Answer

We start with the expression

$$
1 \times \left(\frac{3}{4} - \frac{1}{2}\right)^2
$$

**Step 1. Compute the subtraction inside the parentheses:**

$$
\frac{3}{4} - \frac{1}{2} = \frac{3}{4} - \frac{2}{4} = \frac{1}{4}
$$

**Step 2. Square the result:**

$$
\left(\frac{1}{4}\right)^2 = \frac{1^2}{4^2} = \frac{1}{16}
$$

**Step 3. Multiply by 1:**

$$
1 \times \frac{1}{16} = \frac{1}{16}
$$

Thus, the value of the expression is

$$
\frac{1}{16}
$$
The value of the expression is $$ \frac{1}{16} $$.

Evaluate the expression.