2^10000= 10^(lg2*10000)= 10^3010.2999566398119521373889472449
If your teacher doesn't like that answer

pick up the decimals of lg2*10000=3010.x

so you get 10^0.x = 1.9950631168807583848837421626836

Thus you get 1.9950631168807583848837421626836*10^3010

Haven't anyone here learned to count with logaritmes?