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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Because in alot of subjects you use measurements and graphs/charts which is to do with maths
The exponents are added.
Exponents are used in many different contexts and for different, though related, reasons. Exponents are used in scientific notation to represent very large and very small numbers. The main purpose it to strip the number of unnecessary detail and to reduce the risk of errors. Exponents are used in algebra and calculus to deal with exponential or power functions. Many laws in physics, for example, involve powers (positive, negative or fractional) of basic measures. Calculations based on these laws are simper if exponents are used.
You can have negative exponents anywhere. When they are in the denominator, they are equivalent to positive exponents in the numerator of a fraction.
No.