Math Classes in Keelkattalai 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) #moms #dads #parents #logicalmath #math #reasoning #upfunda #logicalreasoning #mathtuition #tutor #tutoring #onlineclass #online