Precalculus Examples

$2 (4 - {(- 1)}^{2}) - 8$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Multiply $- 1$ by ${(- 1)}^{2}$ by adding the exponents.

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Step 1.1.1.1

Multiply $- 1$ by ${(- 1)}^{2}$ .

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Step 1.1.1.1.1

Raise $- 1$ to the power of $1$ .

$2 (4 + {(- 1)}^{1} {(- 1)}^{2}) - 8$

Step 1.1.1.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 (4 + {(- 1)}^{1 + 2}) - 8$

Step 1.1.1.2

Add $1$ and $2$ .

$2 (4 + {(- 1)}^{3}) - 8$

Step 1.1.2

Raise $- 1$ to the power of $3$ .

$2 (4 - 1) - 8$

Step 1.2

Subtract $1$ from $4$ .

$2 \cdot 3 - 8$

Step 1.3

Multiply $2$ by $3$ .

$6 - 8$

Step 2

Subtract $8$ from $6$ .

$- 2$