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The metric prefix k would be presented as 10 to the power of:

1) -3
2) 3
3) 12
4) -9

1 Answer

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Final answer:

The metric prefix 'k' corresponds to 10 to the power of 3, which means one kilogram is 1,000 grams or 1 × 10³ g.

Step-by-step explanation:

The metric prefix 'k' stands for kilo, and it is represented by 10 to the power of 3. That means one kilogram (kg) is equal to 1,000 grams (g), or 1 kg = 1 × 10³ g. Therefore, when you see the prefix 'k,' you can replace it with 10³.

For example, when measuring mass, we wouldn't use terms like kilokilograms to denote a million grams; instead, we would say megagram (Mg), as 1 megagram is equivalent to 1 × 10¶ g, and this correctly represents a thousand kilograms without 'doubling up' the prefixes.

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