Basic Math Examples

$\frac{- 2 - 3^{3} - 7}{3^{3} - 3^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{- 2 - 1 \cdot 27 - 7}{3^{3} - 3^{2}}$

Step 1.2

Multiply $- 1$ by $27$ .

$\frac{- 2 - 27 - 7}{3^{3} - 3^{2}}$

Step 1.3

Subtract $27$ from $- 2$ .

$\frac{- 29 - 7}{3^{3} - 3^{2}}$

Step 1.4

Subtract $7$ from $- 29$ .

$\frac{- 36}{3^{3} - 3^{2}}$

$\frac{- 36}{3^{3} - 3^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

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

$\frac{- 36}{27 - 3^{2}}$

Step 2.2

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

$\frac{- 36}{27 - 1 \cdot 9}$

Step 2.3

Multiply $- 1$ by $9$ .

$\frac{- 36}{27 - 9}$

Step 2.4

Subtract $9$ from $27$ .

$\frac{- 36}{18}$

$\frac{- 36}{18}$

Step 3

Divide $- 36$ by $18$ .

$- 2$

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