Algebra Examples

$6 \cdot 2 \div {(- 1)}^{4 \cdot 5 - (8 + 3)}$

Step 1

Rewrite the division as a fraction.

$\frac{6 \cdot 2}{{(- 1)}^{4 \cdot 5 - (8 + 3)}}$

Step 2

Multiply $6$ by $2$ .

$\frac{12}{{(- 1)}^{4 \cdot 5 - (8 + 3)}}$

Step 3

Simplify the denominator.

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply $4$ by $5$ .

$\frac{12}{{(- 1)}^{20 - (8 + 3)}}$

Step 3.1.2

Add $8$ and $3$ .

$\frac{12}{{(- 1)}^{20 - 1 \cdot 11}}$

Step 3.1.3

Multiply $- 1$ by $11$ .

$\frac{12}{{(- 1)}^{20 - 11}}$

$\frac{12}{{(- 1)}^{20 - 11}}$

Step 3.2

Subtract $11$ from $20$ .

$\frac{12}{{(- 1)}^{9}}$

Step 3.3

Raise $- 1$ to the power of $9$ .

$\frac{12}{- 1}$

$\frac{12}{- 1}$

Step 4

Divide $12$ by $- 1$ .

$- 12$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$