Simplify 5yi^3+xi^4

$5 y i^{3} + x i^{4}$

Step 1

Factor out $i^{2}$ .

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

Step 2

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

$5 y (- 1 \cdot i) + x i^{4}$

Step 3

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

$5 y (- i) + x i^{4}$

Step 4

Multiply $- 1$ by $5$ .

$- 5 y i + x i^{4}$

Step 5

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

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

$- 5 y i + x {(i^{2})}^{2}$

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

$- 5 y i + x {(- 1)}^{2}$

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

$- 5 y i + x \cdot 1$

$- 5 y i + x \cdot 1$

Step 6

Multiply $x$ by $1$ .

$- 5 y i + x$

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