Basic Math Examples

$- 8 (8 i) (- 6 + 5 i)$

Step 1

Multiply $8$ by $- 8$ .

$- 64 i (- 6 + 5 i)$

Step 2

Apply the distributive property.

$- 64 i \cdot - 6 - 64 i (5 i)$

Step 3

Multiply $- 6$ by $- 64$ .

$384 i - 64 i (5 i)$

Step 4

Multiply $- 64 i (5 i)$ .

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Step 4.1

Multiply $5$ by $- 64$ .

$384 i - 320 i i$

Step 4.2

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

$384 i - 320 (i^{1} i)$

Step 4.3

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

$384 i - 320 (i^{1} i^{1})$

Step 4.4

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

$384 i - 320 i^{1 + 1}$

Step 4.5

Add $1$ and $1$ .

$384 i - 320 i^{2}$

Step 5

Simplify each term.

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Step 5.1

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

$384 i - 320 \cdot - 1$

Step 5.2

Multiply $- 320$ by $- 1$ .

$384 i + 320$

Step 6

Reorder $384 i$ and $320$ .

$320 + 384 i$