325 = 847288609443. The last digit is therefore "3".
On your calculator (if you have a scientific calculator; and if you don't but you are using Microsoft Windows you can get a scientific calculator up by going to Start and typing in "calc" in the run/search box) you will have a button that looks like this:
xy (i.e. x to the power of y)
If you type in "3" then press this button and then put in "25" and press equals you should get the above number!
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It is 1.
The first 3 digit natural number is 100: 100 ÷ 4 = 25 → first 3 digit natural number divisible by 4 is 4 × 25 The last 3 digit natural number is 999: 999 ÷ 4 = 249 r 3 → last 3 digit natural number divisible by 4 is 4 × 249 → number of 3 digit natural numbers divisible by 4 is 249 - 25 + 1 = 225.
3
Power 2: units digit 9. Multiply by 49 again to get power 4: units digit 1. So every 4th power gives units digit 1. So 16th power has units digit 1, so the previous power, the 15th must have units digit 3.
To find the units' digit of 3 to the power of 333, we need to look for a pattern. The units' digit of powers of 3 cycles in a pattern: 3, 9, 7, 1. Since 333 divided by 4 leaves a remainder of 1, the units' digit of 3 to the power of 333 will be the first digit in the pattern, which is 3.