Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [exponentiation]

Questions about exponentiation, the operation of raising a base $b$ to an exponent $a$ to give $b^a$.

Exponentiation is a mathematical operation which produces a power $a^n$ from a base $a$ and an exponent $n$. The objects involved are usually numbers, but the procedure can be generalized to matrices, elements in algebraic structures, sets, etc.

4326 questions
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Calculating non-integer exponents

I'm trying to create a fully functioning calculator in Ruby and have been stuck for quite some time on calculating non-integer exponents, e.g. $3^{2.4}$. I would like to be able to support decimal powers without using any libraries. Knowing how to…
brokenbyte
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Simplifying Exponents (exponent laws)

So I have this equation: $${\left(\left(\frac{w}{x}\right)^{\frac{y}{x}}\right)}^{\frac{z}{x}}$$ And I know that $${\left(a^b\right)}^c = a^{bc}$$ So I figured I'd simplify it into this: $$\left(\frac{w}{x}\right)^{\frac{y}{x}\frac{z}{x}}$$ And then…
warspyking
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Need Help: Exponential Equations (Same bases)

$3^{n+2} + [3^{n+3} - 3^{n+1}] = ?$ How do we get the answer for this? Do I just remove the bases and proceed to find the value of $n$ or do I use logarithms?
Raffy Udinov
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Which is the largest power of natural number that can be evaluated by computers?

Which is the largest power of natural number that can be evaluated by computers? For example if we take a very large power of 7: $7^{120000000000}$. Can a computer calculate this number?
parkhyeyoo
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How to derive a formula for the first n powers of an integer?

How to derive a formula for the first n powers of an integer? In particular, sum of 2^n? I'm looking for a proof that not only utilizes algebraic manipulation but is also easily seen visually.
user93200
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