����ý

\({a^{\frac{1}{n}}} = \sqrt[n]{a}\)

Simplify \(25^{\frac{1}{2}}\)

=\(\sqrt{25}\)

\(=5\)

Simplify \(64^{\frac{1}{3}}\)

\(=\sqrt[3]{64}\)

\(=4\)

Simplify \(\sqrt y \times {y^5}\)

\(= {y^{\frac{1}{2}}} \times {y^5}\)

\(= {y^{\frac{1}{2} + 5}}\)

Adding the indices gives \(5\frac{1}{2}\) which is \(\frac{11}{2}\).

\(= {y^{\frac{{11}}{2}}}\)