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The half-life of radioactive material is the length of time it takes the substance to be halved due to the emission of radiation. If the half-life of a radioactive substance is 50 years, what fraction of the original amount will remain after 150 years?

A $2747_w9_h37.png$

Given the half-life is 50 years, the original amount will be cut in half three times over a period of 150 years to $4940_w9_h37.png$ in 50 years, to $3947_w81_h38.png$ in 100 years, and to $6800_w116_h37.png$ in 150 years.