Simplify 4yi^2+8yi^4

$4 y i^{2} + 8 y i^{4}$

Simplify each term.

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

$4 y \cdot - 1 + 8 y i^{4}$

Multiply $- 1$ by $4$ .

$- 4 y + 8 y i^{4}$

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

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

$- 4 y + 8 y {(i^{2})}^{2}$

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

$- 4 y + 8 y {(- 1)}^{2}$

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

$- 4 y + 8 y \cdot 1$

$- 4 y + 8 y \cdot 1$

Multiply $8$ by $1$ .

$- 4 y + 8 y$

$- 4 y + 8 y$

Add $- 4 y$ and $8 y$ .

$4 y$

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