A half-life is the amount of time that it takes for a radioactive substance to decay to one
half of its original quantity. Suppose radioactive decay causes 300 grams of a substance
to decrease to 300 × 2–3
grams after 3 half-lives. Evaluate 300 × 2–3
to determine how
many grams of the substance are left. Explain why the expression 300 × 2–n
can be used
to find the amount of the substance that remains after n half-lives.
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