Question

What is the connection between rational exponents and radicals?

Answer 1

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}$

Answer 2

Radicals and rational exponents are  alternate ways of expressing the same thing.
n√x