What are the last $2$ digits on the right in the expansion of the expression $2^{2018201}- 8$? 
Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders 
$2^{10}=1024\equiv24($mod$100)$  $\left (2^{10}\right )^{2}=1024^{2}\equiv76($mod$100)$  $\left (2^{10}\right )^{3}\equiv 76\times24\equiv24($mod$100)$  $\left (2^{10}\right )^{4}\equiv76($mod$100)$  $\cdots\cdots$  $$2^{2018201}-8=2\left (2^{2018200}\right )-8 \equiv 2\left (76\right )-8 \equiv 44($$mod$$100)$$. 