Algebra Examples

$i^{8} \cdot 5$

Step 1

Rewrite $i^{8}$ as ${(i^{4})}^{2}$ .

${(i^{4})}^{2} \cdot 5$

Step 2

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

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

${({(i^{2})}^{2})}^{2} \cdot 5$

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

${({(- 1)}^{2})}^{2} \cdot 5$

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

$1^{2} \cdot 5$

$1^{2} \cdot 5$

Step 3

One to any power is one.

$1 \cdot 5$

Step 4

Multiply $5$ by $1$ .

$5$

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