How does one raise a number to a power in the 9100A?

[Dieter]

(03-12-2018 02:28 PM)toml_12953 Wrote:  Here's the calculation in Floating point mode

Code:

                     
        3        3.    00                   
        ln       1.098 612 288    00 
        R^     0.      00                 
       201     2.01    02                
        *        2.01    02                 
        RV      2.208 210 700    00   
        e^x    7.968 419 671    95

Interesting. The ln is slighty low (last digit rounded down instead of up), the multiplication then has a result which is 1 ULP high. Finally the exponentiation is significantly off: e^220,8210700 is 7,968419489 E+95.

So while the result looks very good, it actually is caused by the error of the exponential function which has only 7 correct significant digits. Which only by chance is close to the correct final result.

Dieter