Evaluate |1/2(7+5^3)|

$| \frac{1}{2} (7 + 5^{3}) |$

Step 1

Simplify the expression.

Raise $5$ to the power of $3$ .

$| \frac{1}{2} \cdot (7 + 125) |$

Add $7$ and $125$ .

$| \frac{1}{2} \cdot 132 |$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $132$ .

$| \frac{1}{2} \cdot (2 (66)) |$

Cancel the common factor.

$| \frac{1}{2} \cdot (2 \cdot 66) |$

Rewrite the expression.

$| 66 |$

Step 3

The absolute value is the distance between a number and zero. The distance between $0$ and $66$ is $66$ .

$66$