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What is the half life of each of these radioactive isotopes?
a radioactive isotope decreased to one-fourth its original amount in 18 months.

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AL2006

One fourth means  (one half)  of  (one half)  .

So the 18 months must be two half-lifes.

The half-life of this particular isotope is  9 months.
The half life would be 9 months long.