34. Simplify $x^{1 / 5}+y^{5 / 3}$ using radicals and integer exponents.

Step 1 ：The question is asking to simplify the expression \(x^{1 / 5}+y^{5 / 3}\) using radicals and integer exponents. This means we need to convert the fractional exponents into radical form.

Step 2 ：The general rule for converting fractional exponents to radicals is as follows: if you have a term of the form \(a^{m/n}\), this can be rewritten as \(\sqrt[n]{a^m}\).

Step 3 ：So, we can rewrite \(x^{1 / 5}\) as \(\sqrt[5]{x}\) and \(y^{5 / 3}\) as \(\sqrt[3]{y^5}\).

Step 4 ：So, the simplified form of \(x^{1 / 5}+y^{5 / 3}\) using radicals and integer exponents is \(\boxed{\sqrt[5]{x} + \sqrt[3]{y^5}}\).