2[10^(n+1)]^2*100*5^(2n)*2^(2n-1)
=2*10^[2(n+1)]*100*5*5^(2n-1)*2^(2n-1)
=2*1000*10^(2n-1)]*100*5*5^(2n-1)*2^(2n-1)
=10^[2(2n-1)]^*10^6
=10^(4n+4)
2[10^(n+1)]^2*100*5^(2n)*2^(2n-1)
=2*10^[2(n+1)]*100*5*5^(2n-1)*2^(2n-1)
=2*1000*10^(2n-1)]*100*5*5^(2n-1)*2^(2n-1)
=10^[2(2n-1)]^*10^6
=10^(4n+4)