Algebra Examples

i^{64}

$i^{64}$

Step 1

Rewrite

i^{64}

$i^{64}$ as

{(i^{4})}^{16}

${(i^{4})}^{16}$ .

{(i^{4})}^{16}

${(i^{4})}^{16}$

Step 2

Rewrite

i^{4}

$i^{4}$ as

1

$1$ .

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Step 2.1

Rewrite

i^{4}

$i^{4}$ as

{(i^{2})}^{2}

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

{({(i^{2})}^{2})}^{16}

${({(i^{2})}^{2})}^{16}$

Step 2.2

Rewrite

i^{2}

$i^{2}$ as

- 1

$- 1$ .

{({(- 1)}^{2})}^{16}

${({(- 1)}^{2})}^{16}$

Step 2.3

Raise

- 1

$- 1$ to the power of

2

$2$ .

1^{16}

$1^{16}$

1^{16}

$1^{16}$

Step 3

One to any power is one.

1

$1$

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

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