Basic Math Examples

5^{4} \cdot 5^{8}

$5^{4} \cdot 5^{8}$

Step 1

Multiply

5^{4}

$5^{4}$ by

5^{8}

$5^{8}$ 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.

5^{4 + 8}

$5^{4 + 8}$

Step 1.2

Add

4

$4$ and

8

$8$ .

5^{12}

$5^{12}$

5^{12}

$5^{12}$

Step 2

Raise

5

$5$ to the power of

12

$12$ .

244140625

$244140625$

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

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