Simplify i(1-i)

$i (1 - i)$

Apply the distributive property.

$i \cdot 1 + i (- i)$

Multiply $i$ by $1$ .

$i + i (- i)$

Multiply $i (- i)$ .

Raise $i$ to the power of $1$ .

$i - (i^{1} i)$

Raise $i$ to the power of $1$ .

$i - (i^{1} i^{1})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$i - i^{1 + 1}$

Add $1$ and $1$ .

$i - i^{2}$

Simplify each term.

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

$i - - 1$

Multiply $- 1$ by $- 1$ .

$i + 1$

Reorder $i$ and $1$ .

$1 + i$