Question

What is the connection between rational exponents and radicals?

Answer 1

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

Answer 2

`\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^( n)} \qquad \qquad \sqrt[{ m}]{a^( n)}\implies a^{\frac{{ n}}{{ m}}}`