Algebra Examples

$i^{2} + i^{3} + i^{4}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $i^{2}$ as $- 1$ .

$- 1 + i^{3} + i^{4}$

Step 1.2

Factor out $i^{2}$ .

$- 1 + i^{2} \cdot i + i^{4}$

Step 1.3

Rewrite $i^{2}$ as $- 1$ .

$- 1 - 1 \cdot i + i^{4}$

Step 1.4

Rewrite $- 1 i$ as $- i$ .

$- 1 - i + i^{4}$

Step 1.5

Rewrite $i^{4}$ as $1$ .

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Step 1.5.1

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$- 1 - i + {(i^{2})}^{2}$

Step 1.5.2

Rewrite $i^{2}$ as $- 1$ .

$- 1 - i + {(- 1)}^{2}$

Step 1.5.3

Raise $- 1$ to the power of $2$ .

$- 1 - i + 1$

$- 1 - i + 1$

$- 1 - i + 1$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $- 1$ and $1$ .

$0 - i$

Step 2.2

Subtract $i$ from $0$ .

$- i$

$- i$

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