Simplify -24/(3i)

$- \frac{24}{3 i}$

Cancel the common factor of $24$ and $3$ .

Factor $3$ out of $24$ .

$- \frac{3 \cdot 8}{3 i}$

Cancel the common factors.

Factor $3$ out of $3 i$ .

$- \frac{3 \cdot 8}{3 (i)}$

Cancel the common factor.

$- \frac{3 \cdot 8}{3 i}$

Rewrite the expression.

$- \frac{8}{i}$

Multiply the numerator and denominator of $\frac{8}{i}$ by the conjugate of $i$ to make the denominator real.

$- (\frac{8}{i} \cdot \frac{i}{i})$

Multiply.

Combine.

$- \frac{8 i}{i i}$

Simplify the denominator.

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

$- \frac{8 i}{i^{1} i}$

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

$- \frac{8 i}{i^{1} i^{1}}$

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

$- \frac{8 i}{i^{1 + 1}}$

Add $1$ and $1$ .

$- \frac{8 i}{i^{2}}$

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

$- \frac{8 i}{- 1}$

Move the negative one from the denominator of $\frac{8 i}{- 1}$ .

$- (- 1 \cdot (8 i))$

Rewrite $- 1 \cdot (8 i)$ as $- (8 i)$ .

$- - (8 i)$

Multiply $8$ by $- 1$ .

$- (- 8 i)$

Multiply $- 8$ by $- 1$ .

$8 i$