The technetium isotope \({ }^{99} \mathrm{Tc}\) is useful in medical imaging, but its short \(6.0 \mathrm{~h}\) halflife means that shipping it from a source won't work; it must be created where it will be used. Hospitals extract the \({ }^{99} \mathrm{Tc}\) daughter product from the decay of the molybdenum isotope \({ }^{99} \mathrm{Mo}\). The \({ }^{99}\) Mo source has a half-life of 2.7 days, so it must be replaced weekly. If a hospital receives a \(20 \mathrm{GBq}{ }^{99}\) Mo source, what is its activity one week later?

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