Simplify -10yi^3+2xi^4

$- 10 y i^{3} + 2 x i^{4}$

Factor out $i^{2}$ .

$- 10 y (i^{2} \cdot i) + 2 x i^{4}$

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

$- 10 y (- 1 \cdot i) + 2 x i^{4}$

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

$- 10 y (- i) + 2 x i^{4}$

Multiply $- 1$ by $- 10$ .

$10 y i + 2 x i^{4}$

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

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

$10 y i + 2 x {(i^{2})}^{2}$

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

$10 y i + 2 x {(- 1)}^{2}$

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

$10 y i + 2 x \cdot 1$

$10 y i + 2 x \cdot 1$

Multiply $2$ by $1$ .

$10 y i + 2 x$

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