Simplify (-2-i^4)+(10+i)

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

Step 1

Remove parentheses.

$- 2 - i^{4} + 10 + i$

Step 2

Simplify each term.

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

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

$- 2 - {(i^{2})}^{2} + 10 + i$

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

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

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

$- 2 - 1 \cdot 1 + 10 + i$

$- 2 - 1 \cdot 1 + 10 + i$

Multiply $- 1$ by $1$ .

$- 2 - 1 + 10 + i$

$- 2 - 1 + 10 + i$

Step 3

Simplify by adding and subtracting.

Subtract $1$ from $- 2$ .

$- 3 + 10 + i$

Add $- 3$ and $10$ .

$7 + i$

$7 + i$

Related Questions