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The fraction of the initial number of radioactive nuclei which remain undecayed after half of a half-life of the radioactive sample is
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$\frac{1}{\sqrt{2}}$
$N_{0}=2^{n} N$
$N=\frac{N_{0}}{2^{n}}=\frac{N_{0}}{2^{4 / 2}}=\frac{N_{0}}{\sqrt{2}}$
$N=\frac{N_{0}}{2^{n}}=\frac{N_{0}}{2^{4 / 2}}=\frac{N_{0}}{\sqrt{2}}$
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