$\text{a)}\sqrt[3]{216}=6,\text{bo}{6}^3=216$  

$\sqrt[3]{512}=8,\text{bo}{8}^3=512$  

$\sqrt[3]{2197}=13,\text{bo}{13}^3=2197$  

$\sqrt[3]{-1,331}=-1,1,\text{bo}{\left(-1,1\right)}^3=-1,331$  

$\text{b)}\sqrt[3]{\frac{1}{27}}=\frac{1}{3},\text{bo}{\left(\frac{1}{3}\right)}^3=\frac{1}{27}$  

$\sqrt[3]{1\frac{61}{64}}=\sqrt[3]{\frac{125}{64}}=\frac{5}{4}=1\frac{1}{4},\text{bo}{\left(1\frac{1}{4}\right)}^3={\left(\frac{5}{4}\right)}^3=\frac{125}{64}=1\frac{61}{64}$  

$\sqrt[3]{-\frac{1728}{125}}=-\frac{12}{5}=-2\frac{2}{5},\text{bo}{\left(-2\frac{2}{5}\right)}^3={\left(-\frac{12}{5}\right)}^3=-\frac{1728}{125}$  

$\sqrt[3]{-1}=-1,\text{bo}{\left(-1\right)}^3=-1$