Answer:
(1/2)^(t/4) = ((1/2)^(1/4))^t
Step-by-step explanation:
If time t is given in hours, then the number of 4-hour time periods is t/4. If the half-life is 4 hours, the population multiplier is ...
(1/2)^(t/4)
Using the rules of exponents, that can be rearranged to ...
(1/2)^((1/4)·t) = ((1/2)^(1/4))^t
That is, the multiplier every hour is ...
(1/2)^(1/4)
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The relevant rule of exponents is ...
(a^b)^c = a^(bc)
