Can you simplify a expression with an exponent that is divided by a number?

Question

As the title suggests, I have $\;a^{(b/c)}.$

Is there any way to simplify this so that there is no dividing in the exponent?

Answer 1

You can write it as $\sqrt[c]{a^b}=\sqrt[c]{a}^b=(a^{\frac{1}{c}})^b=a^{b/c}$. There isn't really any other way to simplify it, unless there's some context to your question.

Answer 2

You may be able to reduce the fraction, but once so reduced, if still a fraction, then no, unless you express the denominator $c$ as the $c$th root of $a^b$.