Simplify (7-i^2)(2+i^4)

$(7 - i^{2}) (2 + i^{4})$

Simplify each term.

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

$(7 - - 1) (2 + i^{4})$

Multiply $- 1$ by $- 1$ .

$(7 + 1) (2 + i^{4})$

$(7 + 1) (2 + i^{4})$

Add $7$ and $1$ .

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

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

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

$8 (2 + {(i^{2})}^{2})$

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

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

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

$8 (2 + 1)$

$8 (2 + 1)$

Add $2$ and $1$ .

$8 \cdot 3$

Multiply $8$ by $3$ .

$24$

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