Answer:
[tex]\frac{1}{8}[/tex] of its original size would be left
Explanation:
The half life of the isotope is the time required for it to decay to half of its original size.
Half life of the isotope = 200 years
So that, after 600 years the material that would be left would be;
let the original size of the material be represented by x.
200 years = [tex]\frac{1}{2}[/tex] x would remain
400 years = [tex]\frac{1}{4}[/tex] x would remain
600 years = [tex]\frac{1}{8}[/tex] x would remain
Thus after 600 years, [tex]\frac{1}{8}[/tex] of its original size would be left.