a) Evaluate each power 3^1, 3^2, 3^3,3^4, 3^5, 3^6
b) Examine the final digit of each of your answers. What pattern do you notice?
I noticed that it ends with 3,9,7,1,3,9... etc
c)Use the pattern you found in part b) to determine the final digit in the number 3^3234. Explain.
please & thankyou ! i just need help with c)
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To determine the final digit of the number 3^3234, we can use the pattern we observed in part b): 3, 9, 7, 1, 3, 9, and so on.
First, let's see how many times the pattern repeats in 3234. We divide 3234 by the length of the pattern, which is 4 (since the pattern repeats every 4 powers).
3234 ÷ 4 = 808 remainder 2
This tells us that the pattern repeats 808 times with a remainder of 2. So we can conclude that the final digit of 3^3234 will be the same as the final digit of 3^2, which is 9.
Therefore, the final digit in the number 3^3234 is 9.