Using an exponential equation, it is found that 4 mg of the substance would still be left after 32 days.
What is an exponential function?
The equation for the amount of the substance y after x half-lifes is given by:
[tex]y = a(0.5)^x[/tex]
In this problem, the initial mass is of a = 64 mg.
Considering a half-life of 8 days, 32 days is equivalent to x = 32/8 = 4 half-lifes, hence:
[tex]y = 64(0.5)^4 = 4[/tex]
4 mg of the substance would still be left after 32 days.
More can be learned about exponential equations at https://brainly.com/question/25537936