If two stars differ by 9.6 magnitudes what is their flux ratio?

Borrowing from the tradition of the ancient Greeks, the first ones
who tried to describe the brightness of stars with numbers ...

                        6 magnitudes  =  a ratio of 100 .

In more modern notation . . .

                       1 magnitude = ratio of    (100) ^ (1/6)

                                             =  about  2.154...

                 9.6 magnitudes  =  (100) ^ (9.6/6) 

                                             =  100¹·⁶ 

                                             =   1,584.89  (rounded)

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