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Exponents are used for working with very large and very small numbers. Traditionally, their use was mainly limited to the sciences and hence their use in "scientific notation". They cropped up frequently in the study of very large things and of very small things - numbers of stars, their mass, distances in space, speed of electromagnetic radiation (including light), numbers of atoms, atomic distances, size of molecules, DNA sequences, numbers of minibeasts and smaller flora/fauna.

But now, with many cities having multimillion residents, some people having millions (whatever currency), millions living in poverty, national debts in billions or even trillions (again, whatever currency), these extreme numbers are becoming part of normal life because they impact on each one of us through their effects on economics, society, and so on.

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Q: How is exponents related to other subjects?
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One use is shorthand for large numbers, eg the mass of the earth is 5960000000000000000000000 kg , which can be expressed as: 5.96 * 1024 kg there are also rules for multiplying / dividing exponential numbers


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