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The Sixth Root of Ten

Tired:

Exponent × 6 Approximate Result
0 1
1 1.5
2 2
3 3
4 5
5 7
6 10

Wired:

Exponent × 6 Approximate Result
0 1.0
1 1.5
2 2.2
3 3.2
4 4.6
5 6.8
6 10

This more-accurate series removes inconsistencies without significantly increasing complexity.