Basic Math Examples

$- 6 + i (8 - 7 i)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 6 + i \cdot 8 + i (- 7 i)$

Step 1.2

Move $8$ to the left of $i$ .

$- 6 + 8 \cdot i + i (- 7 i)$

Step 1.3

Multiply $i (- 7 i)$ .

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Step 1.3.1

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

$- 6 + 8 \cdot i - 7 (i^{1} i)$

Step 1.3.2

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

$- 6 + 8 \cdot i - 7 (i^{1} i^{1})$

Step 1.3.3

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

$- 6 + 8 \cdot i - 7 i^{1 + 1}$

Step 1.3.4

Add $1$ and $1$ .

$- 6 + 8 \cdot i - 7 i^{2}$

Step 1.4

Simplify each term.

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Step 1.4.1

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

$- 6 + 8 i - 7 \cdot - 1$

Step 1.4.2

Multiply $- 7$ by $- 1$ .

$- 6 + 8 i + 7$

Step 2

Add $- 6$ and $7$ .

$1 + 8 i$