Algebra Examples

$i^{17}$

Step 1

Rewrite

$i^{17}$ as

${(i^{4})}^{4} i$ .

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Step 1.1

Factor out

$i^{16}$ .

$i^{16} i$

Step 1.2

Rewrite

$i^{16}$ as

${(i^{4})}^{4}$ .

${(i^{4})}^{4} i$

${(i^{4})}^{4} i$

Step 2

Rewrite

$i^{4}$ as

$1$ .

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Step 2.1

Rewrite

$i^{4}$ as

${(i^{2})}^{2}$ .

${({(i^{2})}^{2})}^{4} i$

Step 2.2

Rewrite

$i^{2}$ as

$- 1$ .

${({(- 1)}^{2})}^{4} i$

Step 2.3

Raise

$- 1$ to the power of

$2$ .

$1^{4} i$

$1^{4} i$

Step 3

One to any power is one.

$1 i$

Step 4

Multiply

$i$ by

$1$ .

$i$

$i^{17}$

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√

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≥

≥



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7

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2

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3

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