$A$ radioactive element initially has $4 \times 10^{16}$ active nuclei. If its half-life is $10 \ days$,find the number of nuclei that have decayed in $30 \ days$.
- A$0.5 \times 10^{16}$
- B$2 \times 10^{16}$
- C$3.5 \times 10^{16}$
- D$1 \times 10^{16}$
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