frederick
Posted on: Thu Mar 06, 2014 4:52 pm
Posts: 176 Location: Canada Joined: Thu Aug 04, 2011 7:40 pm
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Exponentiation Tables - originally courtesy of skeeter84
2 digit table:
1 = 1^2, 1^3, 1^4, 1^5, 1^6, 1^7, 1^8 2 = 2^1 3 = 3^1 4 = 4^1 5 = 5^1 6 = 6^1 7 = 7^1 8 = 8^1, 2^3 9 = 3^2 16 = 2^4, 4^2 25 = 5^2 32 = 2^5 36 = 6^2 49 = 7^2 64 = 2^6, 4^3, 8^2 81 = 3^4 125 = 5^3 128 = 2^7 216 = 6^3 243 = 3^5 256 = 2^8 343 = 7^3 512 = 8^3 625 = 5^4 729 = 3^6 1,024 = 4^5 1,296 = 6^4 2,187 = 3^7 2,401 = 7^4 4,096 = 4^6, 8^4 6,561 = 3^8 7,776 = 6^5 15,625 = 5^6 16,384 = 4^7 16,807 = 7^5 32,768 = 8^5 65,536 = 4^8 78,125 = 5^7 117,649 = 7^6 262,144 = 8^6 279,936 = 6^7 390,625 = 5^8 1,679,616 = 6^8 2,097,152 = 8^7 5,764,801 = 7^8
So, are we having fun yet!?
3 digit table:
1 = 1^(1^1), 1^(1^2), 1^(1^3), 1^(1^4), 1^(1^5), 1^(1^6), 1^(1^7), 1^(1^8), 1^(2^1), 1^(2^2), 1^(2^3), 1^(2^4), 1^(2^5), 1^(2^6), 1^(2^7), 1^(2^8), 1^(3^1), 1^(3^2), 1^(3^3), 1^(3^4), 1^(3^5), 1^(3^6), 1^(3^7), 1^(3^8), 1^(4^1), 1^(4^2), 1^(4^3), 1^(4^4), 1^(4^5), 1^(4^6), 1^(4^7), 1^(4^8), 1^(5^1), 1^(5^2), 1^(5^3), 1^(5^4), 1^(5^5), 1^(5^6), 1^(5^7), 1^(5^8), 1^(6^1), 1^(6^2), 1^(6^3), 1^(6^4), 1^(6^5), 1^(6^6), 1^(6^7), 1^(6^8), 1^(7^1), 1^(7^2), 1^(7^3), 1^(7^4), 1^(7^5), 1^(7^6), 1^(7^7), 1^(7^8), 1^(8^1), 1^(8^2), 1^(8^3), 1^(8^4), 1^(8^5), 1^(8^6), 1^(8^7), 1^(8^8)
2 = 2^(1^1), 2^(1^2), 2^(1^3), 2^(1^4), 2^(1^5), 2^(1^6), 2^(1^7), 2^(1^8) 3 = 3^(1^1), 3^(1^2), 3^(1^3), 3^(1^4), 3^(1^5), 3^(1^6), 3^(1^7), 3^(1^8) 4 = 4^(1^1), 4^(1^2), 4^(1^3), 4^(1^4), 4^(1^5), 4^(1^6), 4^(1^7), 4^(1^8), 2^(2^1) 5 = 5^(1^1), 5^(1^2), 5^(1^3), 5^(1^4), 5^(1^5), 5^(1^6), 5^(1^7), 5^(1^8) 6 = 6^(1^1), 6^(1^2), 6^(1^3), 6^(1^4), 6^(1^5), 6^(1^6), 6^(1^7), 6^(1^8) 7 = 7^(1^1), 7^(1^2), 7^(1^3), 7^(1^4), 7^(1^5), 7^(1^6), 7^(1^7), 7^(1^8) 8 = 8^(1^1), 8^(1^2), 8^(1^3), 8^(1^4), 8^(1^5), 8^(1^6), 8^(1^7), 8^(1^8), 2^(3^1) 9 = 3^(2^1) 16 = 2^(2^2), 2^(4^1), 4^(2^1) 25 = 5^(2^1) 27 = 3^(3^1) 32 = 2^(5^1) 36 = 6^(2^1) 49 = 7^(2^1) 64 = 2^(6^1), 4^(3^1), 8^(2^1) 81 = 3^(2^2), 3^(4^1) 125 = 5^(3^1) 128 = 2^(7^1) 216 = 6^(3^1) 243 = 3^(5^1) 256 = 2^(2^3), 2^(8^1), 4^(2^2), 4^(4^1) 343 = 7^(3^1) 512 = 2^(3^2), 8^(3^1) 625 = 5^(2^2), 5^(4^1) 729 = 3^(6^1) 1,024 = 4^(5^1) 1,296 = 6^(2^2), 6^(4^1) 2,187 = 3^(7^1) 2,401 = 7^(2^2), 7^(4^1) 3,125 = 5^(5^1) 4,096 = 4^(6^1), 8^(2^2), 8^(4^1) 6,561 = 3^(2^3), 3^(8^1) 7,776 = 6^(5^1) 15,625 = 5^(6^1) 16,384 = 4^(7^1) 16,807 = 7^(5^1) 19,683 = 3^(3^2) 32,768 = 8^(5^1) 46,656 = 6^(6^1) 65,536 = 2^(2^4), 2^(4^2), 4^(2^3), 4^(8^1) 78,125 = 5^(7^1) 117,649 = 7^(6^1) 262,144 = 4^(3^2), 8^(6^1) 279,936 = 6^(7^1) 390,625 = 5^(2^3), 5^(8^1) 823,543 = 7^(7^1) 1,679,616 = 6^(2^3), 6^(8^1) 1,953,125 = 5^(3^2) 2,097,152 = 8^(7^1) 5,764,801 = 7^(2^3), 7^(8^1) 10,077,696 = 6^(3^2) 16,777,216 = 8^(2^3), 8^(8^1) 33,554,432 = 2^(5^2) 40,353,607 = 7^(3^2) 43,046,721 = 3^(2^4), 3^(4^2) 134,217,728 = 2^(3^3), 8^(3^2) 4,294,967,296 = 2^(2^5), 4^(2^4), 4^(4^2)
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