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the metric system is based on powers of... 8. 2. 10. 5.
The metric system (or SI system) is designed such that units are related by powers of 10. For example, 1 meter = 10 decimeters = 100 centimeters, and 1 kilogram = 1000 grams. This base - 10 relationship makes conversions between units straightforward (e.g., to convert from meters to centimeters, you multiply by 100 which is $10^{2}$). The other options (8, 2, 5) do not form the basis of the metric system's unit relationships.
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C. 10. (assuming the options are labeled A:8, B:2, C:10, D:5)