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# What is the last digit of 3^45000

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What is the last digit of 3^45000

Oct 23, 2014

#2
+17747
+5

3^1  =  3           3^5 = 243

3^2  =  9           3^6 = 729

3^3  =  27         3^7 = 2187                      etc.

3^4  =  81         3^8 = 6561

If you divide the exponent by 4, and your remainder is 1, the last digit will be a 3.

If you divide the exponent by 4, and your remainder is 2, the last digit will be a 9.

If you divide the exponent by 4, and your remainder is 3, the last digit will be a 7.

If you divide the exponent by 4, and your remainder is 0, the last digit will be a 1.

So, divide 45000 by 4, what is the remainder?

Oct 24, 2014

#1
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Im not sure but i think it's 9 because I had to do this question when I was in grade 11

Oct 23, 2014
#2
+17747
+5

3^1  =  3           3^5 = 243

3^2  =  9           3^6 = 729

3^3  =  27         3^7 = 2187                      etc.

3^4  =  81         3^8 = 6561

If you divide the exponent by 4, and your remainder is 1, the last digit will be a 3.

If you divide the exponent by 4, and your remainder is 2, the last digit will be a 9.

If you divide the exponent by 4, and your remainder is 3, the last digit will be a 7.

If you divide the exponent by 4, and your remainder is 0, the last digit will be a 1.

So, divide 45000 by 4, what is the remainder?

geno3141 Oct 24, 2014