Algebra Examples

$7 y i^{4} - 10 y i^{3}$

Step 1

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

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Step 1.1

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

$7 y {(i^{2})}^{2} - 10 y i^{3}$

Step 1.2

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

$7 y {(- 1)}^{2} - 10 y i^{3}$

Step 1.3

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

$7 y \cdot 1 - 10 y i^{3}$

$7 y \cdot 1 - 10 y i^{3}$

Step 2

Multiply $7$ by $1$ .

$7 y - 10 y i^{3}$

Step 3

Factor out $i^{2}$ .

$7 y - 10 y (i^{2} \cdot i)$

Step 4

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

$7 y - 10 y (- 1 \cdot i)$

Step 5

Rewrite $- 1 i$ as $- i$ .

$7 y - 10 y (- i)$

Step 6

Multiply $- 1$ by $- 10$ .

$7 y + 10 y i$

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