Simplify fifth root of -243/32

$\sqrt[5]{\frac{- 243}{32}}$

Move the negative in front of the fraction.

$\sqrt[5]{- \frac{243}{32}}$

Rewrite $- \frac{243}{32}$ as ${(- \frac{3}{2})}^{5}$ .

$\sqrt[5]{{(- \frac{3}{2})}^{5}}$

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:

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