Precalculus Examples

$6 i (\frac{1}{6} - i)$

Step 1

Apply the distributive property.

$6 i \frac{1}{6} + 6 i (- i)$

Step 2

Cancel the common factor of $6$ .

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Step 2.1

Factor $6$ out of $6 i$ .

$6 (i) \frac{1}{6} + 6 i (- i)$

Step 2.2

Cancel the common factor.

$6 i \frac{1}{6} + 6 i (- i)$

Step 2.3

Rewrite the expression.

$i + 6 i (- i)$

Step 3

Multiply $6 i (- i)$ .

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Step 3.1

Multiply $- 1$ by $6$ .

$i - 6 i i$

Step 3.2

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

$i - 6 (i^{1} i)$

Step 3.3

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

$i - 6 (i^{1} i^{1})$

Step 3.4

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

$i - 6 i^{1 + 1}$

Step 3.5

Add $1$ and $1$ .

$i - 6 i^{2}$

Step 4

Simplify each term.

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Step 4.1

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

$i - 6 \cdot - 1$

Step 4.2

Multiply $- 6$ by $- 1$ .

$i + 6$

Step 5

Reorder $i$ and $6$ .

$6 + i$