${10}^3=10\cdot 10\cdot 10=1000$   

$-2^2=\left(-1\right)\cdot 2^2=\left(-1\right)\cdot 4=-4$  

${\left(-2\right)}^2=\left(-2\right)\cdot \left(-2\right)=4$  

$-2^3=\left(-1\right)\cdot 2^3=\left(-1\right)\cdot 8=-8$  

$-\frac{18}{6}=-3$  

$a)0,{10}^3,{\left(-2\right)}^2$  

$b)-1,0,{10}^3,-2^2,{\left(-2\right)}^2,-2^3,-\frac{18}{6}$  

$c)0,{10}^3,2,7,{\left(-2\right)}^2,\frac{3}{4}$  

$d)-2^2,-2^3,-\frac{18}{6}$  

$e)0,{10}^3,2,7,-0,25,{\left(-2\right)}^2,\frac{3}{4},-\frac{1}{3}$