# Writing Rational Exponents as Radicals

Want some practice with the other direction? Writing Radicals in Rational Exponent Form

As long as everything is defined:

$$ \cssId{s7}{x^{p/q}} \cssId{s8}{= (x^p)^{1/q}} \cssId{s9}{= \root q\of{x^p}} $$ or $$ \cssId{s11}{x^{p/q}} \cssId{s12}{= (x^{1/q})^p} \cssId{s13}{= (\root q\of{x})^p}$$

In both cases, the denominator in the exponent
indicates the type of root.
The numerator in the exponent is a power,
which can go either *inside* or
*outside* the radical.

## Examples

Write in radical form:

## Concept Practice

On this exercise, you may assume that $\,x\,$ is positive, so that everything is defined.