Write in Standard Form (3+5i)(2-7i^4)

$(3 + 5 i) (2 - 7 i^{4})$

Simplify each term.

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

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

$(3 + 5 i) (2 - 7 {(i^{2})}^{2})$

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

$(3 + 5 i) (2 - 7 {(- 1)}^{2})$

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

$(3 + 5 i) (2 - 7 \cdot 1)$

$(3 + 5 i) (2 - 7 \cdot 1)$

Multiply $- 7$ by $1$ .

$(3 + 5 i) (2 - 7)$

$(3 + 5 i) (2 - 7)$

Simplify by multiplying through.

Subtract $7$ from $2$ .

$(3 + 5 i) \cdot - 5$

Apply the distributive property.

$3 \cdot - 5 + 5 i \cdot - 5$

Multiply.

Multiply $3$ by $- 5$ .

$- 15 + 5 i \cdot - 5$

Multiply $- 5$ by $5$ .

$- 15 - 25 i$

$- 15 - 25 i$

$- 15 - 25 i$

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