Basic Math Examples

$\frac{i^{16}}{i^{3}}$

Step 1

Cancel the common factor of $i^{16}$ and $i^{3}$ .

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Step 1.1

Factor $i^{3}$ out of $i^{16}$ .

$\frac{i^{3} i^{13}}{i^{3}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Multiply by $1$ .

$\frac{i^{3} i^{13}}{i^{3} \cdot 1}$

Step 1.2.2

Cancel the common factor.

$\frac{i^{3} i^{13}}{i^{3} \cdot 1}$

Step 1.2.3

Rewrite the expression.

$\frac{i^{13}}{1}$

Step 1.2.4

Divide $i^{13}$ by $1$ .

$i^{13}$

$i^{13}$

$i^{13}$

Step 2

Rewrite $i^{13}$ as ${(i^{4})}^{3} i$ .

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Step 2.1

Factor out $i^{12}$ .

$i^{12} i$

Step 2.2

Rewrite $i^{12}$ as ${(i^{4})}^{3}$ .

${(i^{4})}^{3} i$

${(i^{4})}^{3} i$

Step 3

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

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Step 3.1

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

${({(i^{2})}^{2})}^{3} i$

Step 3.2

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

${({(- 1)}^{2})}^{3} i$

Step 3.3

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

$1^{3} i$

$1^{3} i$

Step 4

One to any power is one.

$1 i$

Step 5

Multiply $i$ by $1$ .

$i$

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