Why is 500^100+500^100+500^100+500^100+500^100=500^101
What you say above is not true!!. Why? Because: The LHS does not equal the RHS.
LHS =2.5 x 10^103, while the RHS =5 x 10^3. You have to add 5 more terms to LHS to equal the RHS, brcause by adding 5 more terms =10 terms =1 power of 10.