If you raise 3 to the 324th power, what is the units digit of the result?

Question

can you please in explain in detail, how you got your answer

Thanks :)

Answer 1

answer is 1.
Power | Units digit
---------|--------------
3^0 is 1
3^1 3
3^2 9
3^3 27 note units digit is 7, to get the next units digit
just multiply 3 by the 7 and retain only the
units digit
3^4 1 I just multiplied 3 times the 7 in 27, got 21
and just recorded the 1, Now mult. 3 times
the 1 and get 3
3^5 3
3^6 9
3^7 7
Now look how the units digit cycled.
1,3,9,7 Exactly 4 variations and if the power is a whole
multiple of 4 then the units digit is 1. If the power has a
remainder of 1 when divided by 4 then the units digit is
3. Remainder 2 - units 9, Remainder 3 - units 7

Taking 324, the power, divide by 4, the remainder is zero,
so the units digit is 1.
I worked for those 10 points,
c'mon, give it to me.

Answer 2

3^0 = 1, 3^1 = 3, 3^2 = 9 , 3^3 = 27,
3^4 = 81, 3^5 = 243, 3^6 = ....9 ,3^7 = ...7
as you see the last digits repeated are : 1 , 3 , 9 , 7
so the digits are repeated in the cycle of 4.
Now 324 is the 325th power since the 1st power is zero.
in 325 this cycle of 4 is repeated 81 times leaving 1 as a remainder. the last digit will be 1.

Answer 3

If you want to multiply 3 over and over, you need only keep track of the last digit. You only need multiply the last digit by 3 and save the last digit of the result. Do that and see if a pattern emerges. The last digits are:

3^0 -> 1
3^1 -> 3
3^2 -> 9
3^3 -> 7
3^4 -> 1
3^5 -> 3

The pattern repeates every 4 exponents, so 3^8 -> 1, 3^12 -> 1,
3^(4*n) -> 1. You notice that 324 = 81*4 so 3^324 -> 1. It has a last digit of 1.

Answer 4

3^0 = 1
3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81
3^5 = 243
3^6 = 729
3^7 = 2187
3^8 = 6561
3^9 = 19683
etc.

Notice a pattern in the last digit? Every four times the last digit repeats.

324 / 4 has a remainder of 0, so it would match with 3^0, 3^4, 3^8, ... , 3^320, 3^324.

So the last digit would be 1.

Answer 5

3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81
3^5 = 243

So the units go 1, 3, 9, 7, 1, 3, 9, 7.. etc etc.
Every power that is a multiple of 4 will have 1 in the units place. 324/4 = 81.

The units place will be a 1.

Answer 6

Add 24 after that hen multiply rounding down on denometeres and cents plural contexts value, hits wise..