Finite Math Examples

$- 7 (5 i) (- 6 + 4 i)$

Step 1

Multiply $5$ by $- 7$ .

$- 35 i (- 6 + 4 i)$

Step 2

Apply the distributive property.

$- 35 i \cdot - 6 - 35 i (4 i)$

Step 3

Multiply $- 6$ by $- 35$ .

$210 i - 35 i (4 i)$

Step 4

Multiply $- 35 i (4 i)$ .

Tap for more steps...

Step 4.1

Multiply $4$ by $- 35$ .

$210 i - 140 i i$

Step 4.2

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

$210 i - 140 (i^{1} i)$

Step 4.3

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

$210 i - 140 (i^{1} i^{1})$

Step 4.4

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

$210 i - 140 i^{1 + 1}$

Step 4.5

Add $1$ and $1$ .

$210 i - 140 i^{2}$

Step 5

Simplify each term.

Tap for more steps...

Step 5.1

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

$210 i - 140 \cdot - 1$

Step 5.2

Multiply $- 140$ by $- 1$ .

$210 i + 140$

Step 6

Reorder $210 i$ and $140$ .

$140 + 210 i$