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 | ......... |