Write in Standard Form -5/(2i)

$- \frac{5}{2 i}$

Step 1

Multiply the numerator and denominator of $\frac{5}{2 i}$ by the conjugate of $2 i$ to make the denominator real.

$- (\frac{5}{2 i} \cdot \frac{i}{i})$

Step 2

Multiply.

Combine.

$- \frac{5 i}{2 i i}$

Simplify the denominator.

Add parentheses.

$- \frac{5 i}{2 (i i)}$

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

$- \frac{5 i}{2 (i^{1} i)}$

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

$- \frac{5 i}{2 (i^{1} i^{1})}$

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

$- \frac{5 i}{2 i^{1 + 1}}$

Add $1$ and $1$ .

$- \frac{5 i}{2 i^{2}}$

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

$- \frac{5 i}{2 \cdot - 1}$

Step 3

Multiply $2$ by $- 1$ .

$- \frac{5 i}{- 2}$

Step 4

Move the negative in front of the fraction.

$- - \frac{5 i}{2}$

Step 5

Multiply $- - \frac{5 i}{2}$ .

Multiply $- 1$ by $- 1$ .

$1 \frac{5 i}{2}$

Multiply $\frac{5 i}{2}$ by $1$ .

$\frac{5 i}{2}$