Simplify cube root of -27/8

$\sqrt[3]{\frac{- 27}{8}}$

Move the negative in front of the fraction.

$\sqrt[3]{- \frac{27}{8}}$

Rewrite $- \frac{27}{8}$ as ${(- \frac{3}{2})}^{3}$ .

$\sqrt[3]{{(- \frac{3}{2})}^{3}}$

Pull terms out from under the radical, assuming real numbers.

$- \frac{3}{2}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{2}$

Decimal Form:

$- 1.5$

Mixed Number Form:

$- 1 \frac{1}{2}$