Algebra Examples

$- 2 {(- 3)}^{3} \div 6$

Step 1

Rewrite the division as a fraction.

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

Step 2

Cancel the common factor of $- 2$ and $6$ .

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Step 2.1

Factor $2$ out of $- 2 {(- 3)}^{3}$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $6$ .

$\frac{2 (- {(- 3)}^{3})}{2 (3)}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (- {(- 3)}^{3})}{2 \cdot 3}$

Step 2.2.3

Rewrite the expression.

$\frac{- {(- 3)}^{3}}{3}$

$\frac{- {(- 3)}^{3}}{3}$

$\frac{- {(- 3)}^{3}}{3}$

Step 3

Cancel the common factor of ${(- 3)}^{3}$ and $3$ .

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Step 3.1

Rewrite $- 3$ as $- 1 (3)$ .

$\frac{- {(- 1 (3))}^{3}}{3}$

Step 3.2

Apply the product rule to $- 1 (3)$ .

$\frac{- ({(- 1)}^{3} \cdot 3^{3})}{3}$

Step 3.3

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

$\frac{- (- 1 \cdot 3^{3})}{3}$

Step 3.4

Factor $3$ out of $- (- 1 \cdot 3^{3})$ .

$\frac{3 (- (- 1 \cdot 3^{2}))}{3}$

Step 3.5

Cancel the common factors.

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Step 3.5.1

Factor $3$ out of $3$ .

$\frac{3 (- (- 1 \cdot 3^{2}))}{3 (1)}$

Step 3.5.2

Cancel the common factor.

$\frac{3 (- (- 1 \cdot 3^{2}))}{3 \cdot 1}$

Step 3.5.3

Rewrite the expression.

$\frac{- (- 1 \cdot 3^{2})}{1}$

Step 3.5.4

Divide $- (- 1 \cdot 3^{2})$ by $1$ .

$- (- 1 \cdot 3^{2})$

$- (- 1 \cdot 3^{2})$

$- (- 1 \cdot 3^{2})$

Step 4

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

$- (- 1 \cdot 9)$

Step 5

Multiply $- (- 1 \cdot 9)$ .

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Step 5.1

Multiply $- 1$ by $9$ .

$- - 9$

Step 5.2

Multiply $- 1$ by $- 9$ .

$9$

$9$

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