Algebra Examples

$- 1 + 3 ({(10 - 12)}^{3} \div (- 16))$

Step 1

Simplify each term.

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Step 1.1

Simplify the numerator.

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Step 1.1.1

Subtract $12$ from $10$ .

$- 1 + 3 {(- 2)}^{3} \div (- 16)$

Step 1.1.2

Raise $- 2$ to the power of $3$ .

$- 1 + 3 (- 8 \div (- 16))$

Step 1.2

Rewrite the division as a fraction.

$- 1 + 3 (\frac{- 8}{- 16})$

Step 1.3

Cancel the common factor of $- 8$ and $- 16$ .

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Step 1.3.1

Factor $- 8$ out of $- 8$ .

$- 1 + 3 \frac{- 8 (1)}{- 16}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $- 8$ out of $- 16$ .

$- 1 + 3 \frac{- 8 \cdot 1}{- 8 \cdot 2}$

Step 1.3.2.2

Cancel the common factor.

$- 1 + 3 \frac{- 8 \cdot 1}{- 8 \cdot 2}$

Step 1.3.2.3

Rewrite the expression.

$- 1 + 3 (\frac{1}{2})$

Step 1.4

Combine $3$ and $\frac{1}{2}$ .

$- 1 + \frac{3}{2}$

Step 2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- 1 \cdot \frac{2}{2} + \frac{3}{2}$

Step 3

Combine $- 1$ and $\frac{2}{2}$ .

$\frac{- 1 \cdot 2}{2} + \frac{3}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 1 \cdot 2 + 3}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 1$ by $2$ .

$\frac{- 2 + 3}{2}$

Step 5.2

Add $- 2$ and $3$ .

$\frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$