/sci/ - Science & Math

>>14634174
This exponent offset by 1 generalizes to

[math] ((n^m)*n)^m = (n^m)^{m+1} [/math]

So

", ".join([f"{(n**m)*n}^{m} = {n**m}^{m+1}" for n in range(1,12) for m in range(1,12)])


1^1 = 1^2, 1^2 = 1^3, 1^3 = 1^4, 1^4 = 1^5, 1^5 = 1^6, 1^6 = 1^7, 1^7 = 1^8, 1^8 = 1^9, 1^9 = 1^10, 1^10 = 1^11, 1^11 = 1^12, 4^1 = 2^2, 8^2 = 4^3, 16^3 = 8^4, 32^4 = 16^5, 64^5 = 32^6, 128^6 = 64^7, 256^7 = 128^8, 512^8 = 256^9, 1024^9 = 512^10, 2048^10 = 1024^11, 4096^11 = 2048^12, 9^1 = 3^2, 27^2 = 9^3, 81^3 = 27^4, 243^4 = 81^5, 729^5 = 243^6, 2187^6 = 729^7, 6561^7 = 2187^8, 19683^8 = 6561^9, 59049^9 = 19683^10, 177147^10 = 59049^11, 531441^11 = 177147^12, 16^1 = 4^2, 64^2 = 16^3, 256^3 = 64^4, 1024^4 = 256^5, 4096^5 = 1024^6, 16384^6 = 4096^7, 65536^7 = 16384^8, 262144^8 = 65536^9, 1048576^9 = 262144^10, 4194304^10 = 1048576^11, 16777216^11 = 4194304^12, 25^1 = 5^2, 125^2 = 25^3, 625^3 = 125^4, 3125^4 = 625^5, 15625^5 = 3125^6, 78125^6 = 15625^7, 390625^7 = 78125^8, 1953125^8 = 390625^9, 9765625^9 = 1953125^10, 48828125^10 = 9765625^11, 244140625^11 = 48828125^12, 36^1 = 6^2, 216^2 = 36^3, 1296^3 = 216^4, 7776^4 = 1296^5, 46656^5 = 7776^6, 279936^6 = 46656^7, 1679616^7 = 279936^8, 10077696^8 = 1679616^9, 60466176^9 = 10077696^10, 362797056^10 = 60466176^11, 2176782336^11 = 362797056^12, 49^1 = 7^2, 343^2 = 49^3, 2401^3 = 343^4, 16807^4 = 2401^5, 117649^5 = 16807^6, 823543^6 = 117649^7, 5764801^7 = 823543^8, 40353607^8 = 5764801^9, 282475249^9 = 40353607^10, 1977326743^10 = 282475249^11, 13841287201^11 = 1977326743^12, 64^1 = 8^2, 512^2 = 64^3, 4096^3 = 512^4, 32768^4 = 4096^5, 262144^5 = 32768^6, 2097152^6 = 262144^7, 16777216^7 = 2097152^8, 134217728^8 = 16777216^9, 1073741824^9 = 134217728^10, 8589934592^10 = 1073741824^11, 68719476736^11 = 8589934592^12, 81^1 = 9^2, 729^2 = 81^3, 6561^3 = 729^4, 59049^4 = 6561^5, 531441^5 = 59049^6, 4782969^6 = 531441^7, 43046721^7 = 4782969^8, 387420489^8 = 43046721^9, ...

Anybody know how to insert years of high school maths and discipline in my brain to go in IT please i'm desperate