Algebra Examples

e^{π i}

$e^{π i}$

Step 1

Reorder

π

$π$ and

i

$i$ .

e^{i π}

$e^{i π}$

Step 2

Apply Euler's identity

e^{i π} = - 1

$e^{i π} = - 1$ .

- 1

$- 1$

e^{π i}

$e^{π i}$

(

(

)

)

|

|

[

[

]

]

√

√





≥

≥





















7

7

8

8

9

9













≤

≤





















4

4

5

5

6

6

/

/

^

^

×

×

>

>









∩

∩

∪

∪





1

1

2

2

3

3

-

-

+

+

÷

÷

<

<







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π

π

∞

∞

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,

0

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.

.

%

%



=

=







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

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