Basic Math Examples

${(- 2)}^{3} + 27 \div (- 3^{2})$

Step 1

Simplify each term.

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Step 1.1

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

$- 8 + 27 \div (- 3^{2})$

Step 1.2

Rewrite the division as a fraction.

$- 8 + \frac{27}{- 3^{2}}$

Step 1.3

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

$- 8 + \frac{27}{- 1 \cdot 9}$

Step 1.4

Multiply $- 1$ by $9$ .

$- 8 + \frac{27}{- 9}$

Step 1.5

Divide $27$ by $- 9$ .

$- 8 - 3$

$- 8 - 3$

Step 2

Subtract $3$ from $- 8$ .

$- 11$

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