Question

Change this radical to an algebraic expression with fractional exponents.

Answer 1

Rational exponents

$a^\frac{m}{n}$

work like this: the numerator is the actual exponent of the base, while the denominator is the index of the root.

In other words, we have

$a^\frac{m}{n}=\sqrt[n]{a^m}$

So, in you case, we have

$\sqrt[5]{x^3}=x^\frac{3}{5}$

Assuming that the question contanis a typo. If you actually mean $5\sqrt{x^3}$,

then you can write it as $5x^\frac{1}{3}$