Question

Use rational exponents to simplify. Write the answer in radical notation, if possible.

^12sqrta^10

Answer 1

\[a^{\frac{10}{12}}\]
\[a^{\frac{5}{6}}\]

Answer 2

\[\sqrt[12]{a^{10}}=a^{\frac{10}{12}}=a^{\frac{5}{6}}=\sqrt[6]{a^5}\]


So \[\sqrt[12]{a^{10}}=\sqrt[6]{a^5}\]