Well, honey, to find the unit digit of 3 to the 60th power, you just need to look for a pattern. The unit digits of powers of 3 repeat every 4 powers, so you divide 60 by 4, which gives you a remainder of 0. Therefore, the unit digit of 3 to the 60th power is 1.
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Oh, dude, let's break this down. So, when you raise 3 to the power of anything, you're basically multiplying 3 by itself that many times. Like, 3 to the 60th power is a huge number, but all we care about is the unit digit. And since the unit digit of 3 repeats in a pattern of 3, 9, 7, 1, the unit digit of 3 to the 60th power is 1. Easy peasy lemon squeezy!
3 to a power divisible by 4 will have a units digit of 1.
The powers of 3 are 3, 9, 27, 81 ... obviously, the next one will have a units digit of 1x3 or 3, the next one will have a units digit of 3x3 or 9, the next one will have a units digit of 7 (because 9x3 is 27), the next one will have a units digit of 1 (because 7x3 is 21), and then the cycle starts over with a units digit of 3 again.
Here's an example. In the number 382, the number 2 is the "unit's digit" (in the "unit's place"), 8 is the "ten's digit" (in the "ten's place"), and 3 is the "hundred's digit."
it is 3
There are no such numbers.
It is 63.
1