1/8 would remain... (1/2 is 10 years 1/4 is 20 years 1/8 is 40 years)
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Instead of dividing the material by half each time, start by dividing 40 years by the half life of ten. This gives you 4. Subtract 1 So you the answer is 1/2 to the 3rd power
After 40 years, 6.25% of the original radioisotope remains due to its half-life of 10 years. Each half-life reduces the remaining amount by half. The calculation shows that after 4 half-lives, the remaining amount is 6.25% of the initial quantity.
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