Question

4.If n = (565699)^143 + (845669)^230 what is the units digit of n? *​

Answer 1

Answer:

0

Step-by-step explanation:

n = (565699)^143 + (845669)^230

Let's take one term at a time:

• (565699)^143

Here, the unit digit is 9, which has the cylicity of 9 (for odd powers: 9¹ = 9, 9³ = 729) and 1 (for even powers: 9² = 81, 9⁴ = 6561)

Here, the power is odd, hence unit digit of (565699)^143 is 1

• (845669)^230

Here, the unit digit is 9, which has the cylicity of 9 (for odd powers: 9¹ = 9, 9³ = 729) and 1 (for even powers: 9² = 81, 9⁴ = 6561)

Here, the power is even, hence unit digit of (845669)^230 is 9

When we add both the terms,

n = (565699)^143 + (845669)^230 = 1 + 9 = 10

Therefore, unit digit is 0

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