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  Fractioned exponents
  In the table below cubic and square roots are extracted from line to line, equivalent to a division of the exponent by 2, 3 or 6 (examples). Beginning with 12 at the top, first exponents greater than or equal to 1 and then fractioned exponents of 1/2 and 1/12 result from the subsequent divisions.

Repeated operation
(examples)
Exponential
form
Create next line
(examples)
e *e *e *e *e *e *e *e *e *e *e *e e12 Extract the cubic root
e *e *e *e e4 Extract the square root
e *e e2 Extract the square root
e e1 Extract the square root
e1/2 = e0.5 Extract the sixth root
e1/12 = e0.0833 .........