Basic Math Examples

3^{8} \cdot 3^{4}

$3^{8} \cdot 3^{4}$

Step 1

Multiply

3^{8}

$3^{8}$ by

3^{4}

$3^{4}$ 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.

3^{8 + 4}

$3^{8 + 4}$

Step 1.2

Add

8

$8$ and

4

$4$ .

3^{12}

$3^{12}$

3^{12}

$3^{12}$

Step 2

Raise

3

$3$ to the power of

12

$12$ .

531441

$531441$

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

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