after 1st
half life 50% will decay away.
after 2nd
halflife only 25% of the original atom will remain
after another half-life
only 12.5% of the original half-life will remain.
after 4th
half-life only 6.25% will remain
and after the 5th
half-life only the 3.125% will remain.
therefore after 5
halflifes only 3.125% of the original samle will remain
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