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**Aquafina** Thanks, so we can take 7 or -1, depending on what we need in our answer?

Am i supposed to use this to solve the next question

Without direct calculation, determine the next to last digit in 2^1000? (i.e. the one in the “tens” column.) [Hint: listing the last two digits of each power of 2 you should find a cycle of length 20 which first starts with the second power.]

I don't understand the hint. I've written down the last 2 digits till 2^20, but dont seem to find a pattern. Is this what I was supposed to do?