Algebra Examples

$8 i^{56} - 9 i^{72}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $i^{56}$ as ${(i^{4})}^{14}$ .

$8 {(i^{4})}^{14} - 9 i^{72}$

Step 1.2

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

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Step 1.2.1

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

$8 {({(i^{2})}^{2})}^{14} - 9 i^{72}$

Step 1.2.2

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

$8 {({(- 1)}^{2})}^{14} - 9 i^{72}$

Step 1.2.3

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

$8 \cdot 1^{14} - 9 i^{72}$

$8 \cdot 1^{14} - 9 i^{72}$

Step 1.3

One to any power is one.

$8 \cdot 1 - 9 i^{72}$

Step 1.4

Multiply $8$ by $1$ .

$8 - 9 i^{72}$

Step 1.5

Rewrite $i^{72}$ as ${(i^{4})}^{18}$ .

$8 - 9 {(i^{4})}^{18}$

Step 1.6

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

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Step 1.6.1

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

$8 - 9 {({(i^{2})}^{2})}^{18}$

Step 1.6.2

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

$8 - 9 {({(- 1)}^{2})}^{18}$

Step 1.6.3

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

$8 - 9 \cdot 1^{18}$

$8 - 9 \cdot 1^{18}$

Step 1.7

One to any power is one.

$8 - 9 \cdot 1$

Step 1.8

Multiply $- 9$ by $1$ .

$8 - 9$

$8 - 9$

Step 2

Subtract $9$ from $8$ .

$- 1$

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