Basic Math Examples

$\frac{- 9}{- 2 i}$

Step 1

Multiply the numerator and denominator of $\frac{- 9}{- 2 i}$ by the conjugate of $- 2 i$ to make the denominator real.

$\frac{- 9}{- 2 i} \cdot \frac{i}{i}$

Step 2

Multiply.

Tap for more steps...

Step 2.1

Combine.

$\frac{- 9 i}{- 2 i i}$

Step 2.2

Simplify the denominator.

Tap for more steps...

Step 2.2.1

Add parentheses.

$\frac{- 9 i}{- 2 (i i)}$

Step 2.2.2

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

$\frac{- 9 i}{- 2 (i^{1} i)}$

Step 2.2.3

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

$\frac{- 9 i}{- 2 (i^{1} i^{1})}$

Step 2.2.4

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

$\frac{- 9 i}{- 2 i^{1 + 1}}$

Step 2.2.5

Add $1$ and $1$ .

$\frac{- 9 i}{- 2 i^{2}}$

Step 2.2.6

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

$\frac{- 9 i}{- 2 \cdot - 1}$

Step 3

Multiply $- 2$ by $- 1$ .

$\frac{- 9 i}{2}$

Step 4

Move the negative in front of the fraction.

$- \frac{9 i}{2}$