Algebra Examples

$| \frac{1}{2} (16 - 6^{3}) |$

Step 1

Simplify each term.

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Step 1.1

Raise $6$ to the power of $3$ .

$| \frac{1}{2} \cdot (16 - 1 \cdot 216) |$

Step 1.2

Multiply $- 1$ by $216$ .

$| \frac{1}{2} \cdot (16 - 216) |$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Subtract $216$ from $16$ .

$| \frac{1}{2} \cdot - 200 |$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Factor $2$ out of $- 200$ .

$| \frac{1}{2} \cdot (2 (- 100)) |$

Step 2.2.2

Cancel the common factor.

$| \frac{1}{2} \cdot (2 \cdot - 100) |$

Step 2.2.3

Rewrite the expression.

$| - 100 |$

Step 3

The absolute value is the distance between a number and zero. The distance between $- 100$ and $0$ is $100$ .

$100$