Okay, I quite didn't know which category of question this belongs to, I genuinely expect you to pardon my ignorance.

So here is the question:

What is the remainderobtained when the number(10^{10 })^1 + (10^{10 })^2 + (10^{10})^3 + .... so on till + (10^{10})^10is divided by 7.

Read (10^{10})^1 as10 to the power of (10 to the power of 1)^2 as

''10 to the power of (10 to the power of 2)

and so on.