$a)$

$0=0\cdot 0\cdot 0=0^3$

$1=1\cdot 1\cdot 1=1^3$

$27=3\cdot 3\cdot 3=3^3$

$125=5\cdot 5\cdot 5=5^3$

$1000=10\cdot 10\cdot 10={10}^3$

 

$b)$

$\frac{27}{125}=\frac{3}{5}\cdot \frac{3}{5}\cdot \frac{3}{5}={\left(\frac{3}{5}\right)}^3$

$\frac{216}{343}=\frac{6}{7}\cdot \frac{6}{7}\cdot \frac{6}{7}={\left(\frac{6}{7}\right)}^3$

$2\frac{10}{27}=\frac{64}{27}=\frac{4}{3}\cdot \frac{4}{3}\cdot \frac{4}{3}={\left(\frac{4}{3}\right)}^3={\left(1\frac{1}{3}\right)}^3$

$3\frac{3}{8}=\frac{27}{8}=\frac{3}{2}\cdot \frac{3}{2}\cdot \frac{3}{2}={\left(\frac{3}{2}\right)}^3={\left(1\frac{1}{2}\right)}^3$

$1\frac{61}{64}=\frac{125}{64}=\frac{5}{4}\cdot \frac{5}{4}\cdot \frac{5}{4}={\left(\frac{5}{4}\right)}^3={\left(1\frac{1}{4}\right)}^3$

 

  $c)$  

$0,008=0,2\cdot 0,2\cdot 0,2={0,2}^3$

$0,027=0,3\cdot 0,3\cdot 0,3={0,3}^3$

$1,331=1,1\cdot 1,1\cdot 1,1={1,1}^3$

$0,512=0,8\cdot 0,8\cdot 0,8={0,8}^3$

$0,729=0,9\cdot 0,9\cdot 0,9={0,9}^3$