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- What Is Exponentiation? - Mathematics Stack Exchange
Exponentiation is a correspondence between addition and multiplication Think of a number line, with $0$ in the "middle", and tick marks at each integer Moving a certain distance to the right corresponds to adding a positive number, and adding the same number moves you the same distance, no matter where you are on the line
- Why does exponentiation have 2 inverses? - Mathematics Stack Exchange
I was wondering why addition has one inverse (subtraction), multiplication has one inverse (division), but exponentiation has two (radication and logarithm) After a bit of thinking, I thought it m
- exponentiation - Whats the inverse operation of exponents . . .
You know, like addition is the inverse operation of subtraction, vice versa, multiplication is the inverse of division, vice versa , square is the inverse of square root, vice versa What's the in
- exponentiation - Formal definition of numbers with real exponents . . .
Explore related questions definition exponentiation See similar questions with these tags
- exponentiation - How do I reverse engineer this power of exponent . . .
Take the following: (2)^3 = 8 I understand that this is 2 * 2 * 2 = 8 My question is how do I reverse engineer this if I do not know the power like this: (2)^x = 8 What is the value of x? x could
- How is the definition for exponentiation extended to rationals and . . .
When rigorously laying out foundations of all of analysis, the usual method is to use the definition $$ a^b = \exp (b \log (a)) $$ While you could try and define exponentiation directly, it is somewhat awkward Since you have to define $\exp$ and $\log$ anyways, it's most convenient to take advantage of that work, and the fact this identity is so simple This definition also has an advantage
- exponentiation - What comes after exponents? - Mathematics Stack Exchange
We use multiplication for repeated addition, and in turn use exponents for repeated multiplication What topic comes after this, for repeated exponentials? Is there something my teachers are hiding
- exponentiation - How can I intuitively understand complex exponents . . .
I don't think you can intuitively understand complex exponentiation as a generalization of real exponentiation without first synthesizing an understanding of exponentiation
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