Question

СРОЧНО!! ПОМОГИТЕ !! Какой цифрой заканчивается число 7 в 2016 степени? Заранее спасибо !

Answer 1

Степени 7 оканчиваются последовательно на 7,9,3,1
то есть 7 в 2016 оканчивается на 1

Answer 2

The Last Digit of 7 Raised to the Power of 2016

To find the last digit of 7 raised to the power of 2016, we need to consider the pattern of the last digits of powers of 7. The last digit of any power of 7 follows a repeating pattern of 7, 9, 3, and 1.

Let's analyze the pattern:

- 7^1 = 7 - 7^2 = 49 (last digit is 9) - 7^3 = 343 (last digit is 3) - 7^4 = 2401 (last digit is 1) - 7^5 = 16807 (last digit is 7) - 7^6 = 117649 (last digit is 9) - 7^7 = 823543 (last digit is 3) - 7^8 = 5764801 (last digit is 1)

As we can see, the pattern repeats every 4 powers. Therefore, to find the last digit of 7 raised to the power of 2016, we need to divide 2016 by 4 and find the remainder.

2016 divided by 4 gives us a remainder of 0, which means that the last digit of 7 raised to the power of 2016 is the same as the last digit of 7 raised to the power of 4, which is 1.

So, the last digit of 7 raised to the power of 2016 is 1.