Algebra Examples

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

Step 1

Simplify the expression.

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Step 1.1

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

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

Step 1.2

Add $7$ and $125$ .

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $132$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$| 66 |$

Step 3

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

$66$