Simplify -10/(2i)

$\frac{- 10}{2 i}$

Cancel the common factor of $- 10$ and $2$ .

Factor $2$ out of $- 10$ .

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

Cancel the common factors.

Factor $2$ out of $2 i$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 5}{i}$

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

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

Multiply.

Combine.

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

Simplify the denominator.

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

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

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

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

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

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

Add $1$ and $1$ .

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

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

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

Move the negative one from the denominator of $\frac{- 5 i}{- 1}$ .

$- 1 \cdot (- 5 i)$

Rewrite $- 1 \cdot (- 5 i)$ as $- (- 5 i)$ .

$- (- 5 i)$

Multiply $- 5$ by $- 1$ .

$5 i$