New posts in Exponentiation

Why is it that (negative number) ^ (irrational number) is nonreal?

If $2^{k+1} = 2 \cdot 2^k$ what does $2^{k-1}$ equal?

Do powers of 256 all end by 6 and if so, how to prove it?

Proof that $x^{(n+4)} \bmod 10 = x^n \bmod 10\,$ for $\,n\ge 1$

Proving that $\lim_{n\to\infty} \left(1+\frac{1}{f(n)}\right)^{g(n)} = 1$

Why does the approximation for exponents $(a+b)^c \approx a^{c-bc} (a+1)^{cb}$ work?

Can you prove the power rule for irrational exponents without invoking $e$?

Is there a way to solve composite exponential equations precisely?

Where did I make a mistake in my simplification of the algebraic expression?

Are complex numbers subject to different rules of math?