Finding the Power Cycle of numbers Number 0 : Let us calculate values for 0^1 to 0^5 Power of 0 Value 0^1 0 0^2 0 0^3 0 0^4 0 0^5 0 So as you can observe, Value of 0^1 to 0^5 is 0 only. So Unit place digit is 0 for any power of 0 Power Cycle for 0 : (0) Number 1 : Let us calculate values for 11 to 15 Power of 1 Value 1^1 1 1^2 1 1^3 1 1^4 1 1^5 1 So as you can observe: Value of 11 to 15 is 1 only. So Unit place digit is 1 for any power of 1 Power Cycle for 1 : (1) Number 2 : Let us calculate values for 2^1 to 2^5 Power of 2 Value 2^1 2 2^2 4 2^3 8 2^4 16 2^5 32 So as you can observe: Unit place digit of 2^1 to 2^5 is in order 2, 4, 8, 6 and it will keep repeating as 2, 4, 8, 6 Power Cycle for 2 : (2, 4, 8, 6) Number 3 : Let us calculate values for 3^1 to 3^5 Power of 3 Value 3^1 3 3^2 9 3^3 27 3^4 81 3^5 243 So as you can observe: Unit place digit of 3^1 to 3^5 is in order 3, 9, 7, 1 and it will keep repeating as 3, 9, 7, 1 Power Cycle for 3 : (3, 9, 7, 1) Number 4 : Let us calculate values for 41 to 45 Power of 4 Value 4^1 4 4^2 16 4^3 64 4^4 256 4^5 1024 So as you can observe: Unit place digit of 4^1 to 4^5 is in order 4, 6 and it will keep repeating as 4, 6 Power Cycle for 4 : (4, 6) Number 5: Let us calculate values for 5^1 to 5^5 Power of 1 Value 5^1 5 5^2 25 5^3 125 5^4 625 5^5 3125 So as you can observe: Unit place digit of 5^1 to 5^5 is 5 only. So Unit place digit is 5 for any power of 5 Power Cycle for 5 : (5) Number 6: Let us calculate values for 6^1 to 6^5 Power of 6 Value 6^1 6 6^2 36 6^3 216 6^4 1296 6^5 7776 So as you can observe: Unit place digit of 6^1 to 6^5 is 6 only. So Unit place digit is 6 for any power of 6 Power Cycle for 6 : (6) Number 7 : Let us calculate values for 7^1 to 7^5 Power of 7 Value 7^1 7 7^2 49 7^3 343 7^4 2401 7^5 16807 So as you can observe: Unit place digit of 7^1 to 7^5 is in order 7, 9, 3, 1 and it will keep repeating as 7, 9, 3, 1 Power Cycle for 7 : (7, 9, 3, 1) Number 8 : Let us calculate values for 81 to 85 Power of 8 Value 8^1 8 8^2 64 8^3 512 8^4 4096 8^5 32768 So as you can observe: Unit place digit of 8^1 to 8^5 is in order 8, 4, 2, 6 and it will keep repeating as 8, 4, 2, 6 Power Cycle for 8 : (8, 4, 2, 6) Number 9 : Let us calculate values for 9^1 to 9^5 Power of 9 Value 9^1 9 9^2 81 9^3 729 9^4 6651 9^5 59859 So as you can observe: Unit place digit of 9^1 to 9^5 is in order 9, 1 and it will keep repeating as 9, 1 Power Cycle for 9 : (9, 1) Best math classes for kids best math classes for kids near me best math classes in the world best math classes near me best math classes online best math classes online for kids best math courses for kids best math courses online best math online classes best math related courses best mathematics classes cyclic numbers in mathematics how does power work in math power cycle aptitude questions and answers power cycle in number system power cycle questions power cycles in math numbers power cycles in math numbers based questions and answers power cycles in math numbers examples power cycles in math numbers exercises power cycles in math numbers flowchart