Simplify (4-3i)(i)

$(4 - 3 i) (i)$

Step 1

Apply the distributive property.

$4 i - 3 i i$

Step 2

Multiply $- 3 i i$ .

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

$4 i - 3 (i^{1} i)$

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

$4 i - 3 (i^{1} i^{1})$

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

$4 i - 3 i^{1 + 1}$

Add $1$ and $1$ .

$4 i - 3 i^{2}$

Step 3

Simplify each term.

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

$4 i - 3 \cdot - 1$

Multiply $- 3$ by $- 1$ .

$4 i + 3$

Step 4

Reorder $4 i$ and $3$ .

$3 + 4 i$