Tagged Questions
2
votes
2answers
56 views
Division with negative exponents
I have a problem that looks like this:
$$\frac{20x^5y^3}{5x^2y^{-4}}$$
Now they said that the "rule" is that when dividing exponents, you bring them on top as a negative like this:
...
10
votes
4answers
710 views
What's the difference between $3^{3^{3^3}}$ and $27^{27}\;$?
Why does $\;\large3^{3^{3^3}}\;$ evaluate to a larger number than $\;\large 27^{27}$?
1
vote
1answer
74 views
5
votes
7answers
443 views
Is $0^0=1$ postulate independent of all other axioms of complex numbers?
This question is inspired by the other question which asked for a proof that $i^i$ is a real number.
Many calculators when asked for $0^0$ return 1. I asked a mathematician how to prove that but he ...
0
votes
2answers
129 views
Why does $(10^4 - 10^2) \cdot 0.0012121212\dots = 12$?
When you answer this question $(10^4 - 10^2) \cdot 0.0012121212\dots$ you get $12$. However, that seems to defy PEMDAS. Please explain.
Doing PEMDAS wouldn't you get $(10^4 - 10^2)$ = $10^2$ and then ...
0
votes
0answers
94 views
Collaborative modular exponentiation
EDIT: Rephrased.
I have, stored somewhere, the values $a$ , $Q$, $N_1$ (plus its factor) and $a^{2Q} \mod N_1$.
I also know $b$, $R$ and $N_2$ (but not its factors).
I want to know whether there is ...
58
votes
5answers
2k views
Root Calculation by Hand
Is it possible to calculate and find the solution of $ \; \large{105^{1/5}} \; $ without using a calculator? Could someone show me how to do that, please?
Well, when I use a Casio scientific ...
1
vote
1answer
122 views
Convert natural exponent, $e^{c\cdot x}$, into the form $a^{x}$
How does one convert a natural exponent written as $e^{c\cdot x}$ into the form $a^{x}$ ?
0
votes
2answers
142 views
How to define $(-1)^{\frac24}$? [duplicate]
Possible Duplicate:
Which step in this process allows me to erroneously conclude that $i = 1$
According to the definition of exponentials, $\displaystyle(-1)^{\frac{2}{4}}$ is equivalent to ...
8
votes
5answers
356 views
Why is the math for negative exponents so?
This is what we are taught:
$$5^{-2} = \left({\frac{1}{5}}\right)^{2}$$
but I don't understand why we take the inverse of the base when we have a negative exponent. Can anyone explain why?
0
votes
1answer
47 views
Which loan type is cheapest?
I have a 4% loan that spans 20 years, where I pay a fixed amount every three months.
If I make an extra payment, I then can choose between two options
keep the duration of the loan constant, and I ...
5
votes
2answers
863 views
How can I calculate non-integer exponents?
I can calculate the result of $x^y$ provided that $y \in\mathbb{N}, x \neq 0$ using a simple recursive function:
$$
f(x,y) =
\begin {cases}
1 & y = 0 \\
(x)f(x, y-1) & y > 0
\end ...
1
vote
2answers
310 views
