How to define $a^b$ when $b$ is real?
33877
What does $2^x$ really mean when $x$ is not an integer?
72313
Show that for all real numbers $a$ and $b$, $\,\, ab \le (1/2)(a^2+b^2)$
77349
What is the real part of $ e^{e^{i \theta}} ?$
100759
Extending exponentiation to reals
4396
If $A^2\succ B^2$, then necessarily $A\succ B$
131844
When does $(e^a)^b = e^{ab}$ hold?
16852
$|e^a-e^b| \leq |a-b|$ for complex numbers with non-positive real parts
78307
Under what conditions is $AA^T$ invertible?
139503
How to prove $|a+b|^k \leq 2^{k-1} (|a|^k+|b|^k)$?
12694
Why does $a^n - b^n$ never divide $a^n + b^n$?
31544
How to prove that this polynomial is larger than another for positive reals?
153969
The "elements" of a real number
149929
Calculating (a^b)%MOD
17022
Definable real numbers
142725
The general solution of $x^a = a^x$ for real $a >0$
153355
Given $S \in B(Y^{*}, X^{*})$, does there exist $T\in B(X,Y)$ such that $S=T^{*}$?
10236
Show that $a^n \mid b^n$ implies $a \mid b$