Show that $8^{1/\pi}$ has infinitely many values. If it were possible to plot all its values, what would the picture look like.
How do I go about solving this.
Show that $8^{1/\pi}$ has infinitely many values. If it were possible to plot all its values, what would the picture look like.
How do I go about solving this.
Hint: $a^b = \exp(b \log a)$. The values of $\log a$ are $y + 2 \pi i n$ where $y$ is one value and $n$ is an arbitrary integer.