When dividing by 10, what is the remainder?
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Greatt
Thanks
oh this one is just the units digit cycle right? 7, 9, 3, 1... takes like 10 seconds once you see it
yep, cycle of 4. just gotta figure out where 432 lands in it
these remainder-with-powers questions used to scare me but this is one of the friendlier ones. units digit pattern all day
same, once you know it's just units digit = remainder when dividing by 10, it's smooth
wait why is the answer 1 and not one of the bigger numbers? I was staring at 8 and 9 for a while lol
dividing by 10 only cares about the last digit, so the remainder is literally the units digit of 7^432
quick tip: any power of a number ending in 7 has a repeating units digit every 4 exponents. 432 is divisible by 4 so you land at the end of the cycle. nice question
What it tests
Your grasp of exponent rules — multiplying and dividing powers, power-of-a-power, and negative/zero exponents.
Common trap
Adding exponents when multiplying bases that have the same exponent, or confusing (x^a)^b with x^(a·b).