Question

what is an irrational exponent?

Answer 1

One good example:\[
e^{i\pi}=-1\]
It is when the exponent given is not a rational number. I.e. It is uniquely complex, or real, but not rational.

Answer 2

I understand your written explantion, somewhat :) however I do not know what the symbols in your example mean or how to use them? Sorry, this is all so new to me.

Answer 3

It's all right, another few examples could be:
\[
10^{\log_{10}(a)}=a\\
2^\sqrt{2}\\
\]Etcetera.

Answer 4

thank you very much.

Answer 5

An irRATIOnal number is one that cannot be expressed as the RATIO of two integers.

Examples are \[\pi, \sqrt{any non-perfect sqr}, e\]

Answer 6

that is very helpful as well. ty