Basic Math Examples

{(- 2)}^{3} \cdot {(- 2)}^{9}

${(- 2)}^{3} \cdot {(- 2)}^{9}$

Step 1

Multiply

{(- 2)}^{3}

${(- 2)}^{3}$ by

{(- 2)}^{9}

${(- 2)}^{9}$ by adding the exponents.

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Step 1.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

{(- 2)}^{3 + 9}

${(- 2)}^{3 + 9}$

Step 1.2

Add

3

$3$ and

9

$9$ .

{(- 2)}^{12}

${(- 2)}^{12}$

{(- 2)}^{12}

${(- 2)}^{12}$

Step 2

Raise

- 2

$- 2$ to the power of

12

$12$ .

4096

$4096$

${(- 2)}^{3} \cdot {(- 2)}^{9}$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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