Basic Math Examples

3^{5} \cdot 3^{4}

$3^{5} \cdot 3^{4}$

Step 1

Multiply

3^{5}

$3^{5}$ 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^{5 + 4}

$3^{5 + 4}$

Step 1.2

Add

5

$5$ and

4

$4$ .

3^{9}

$3^{9}$

3^{9}

$3^{9}$

Step 2

Raise

3

$3$ to the power of

9

$9$ .

19683

$19683$

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

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