Finite Math Examples

$\frac{1}{- 3 i}$

Step 1

Multiply the numerator and denominator of $\frac{1}{- 3 i}$ by the conjugate of $- 3 i$ to make the denominator real.

$\frac{1}{- 3 i} \cdot \frac{i}{i}$

Step 2

Multiply.

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Step 2.1

Combine.

$\frac{1 i}{- 3 i i}$

Step 2.2

Multiply $i$ by $1$ .

$\frac{i}{- 3 i i}$

Step 2.3

Simplify the denominator.

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Step 2.3.1

Add parentheses.

$\frac{i}{- 3 (i i)}$

Step 2.3.2

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

$\frac{i}{- 3 (i^{1} i)}$

Step 2.3.3

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

$\frac{i}{- 3 (i^{1} i^{1})}$

Step 2.3.4

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

$\frac{i}{- 3 i^{1 + 1}}$

Step 2.3.5

Add $1$ and $1$ .

$\frac{i}{- 3 i^{2}}$

Step 2.3.6

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

$\frac{i}{- 3 \cdot - 1}$

Step 3

Multiply $- 3$ by $- 1$ .

$\frac{i}{3}$