Question

simplify this radical expression
the cube root of 27y^6

Answer 1

\(\Large \bf {
\sqrt[3]{ 27y^6}\qquad
\begin{cases}
27\to 3\cdot 3\cdot 3\to 3^3\\
y^6\to y^2\cdot y^2\cdot y^2\to (y^2)^3
\end{cases}
\\ \quad \\
thus\quad \sqrt[{\color{blue}{ 3}}]{ 3^{\color{blue}{ 3}}(y^2)^{\color{blue}{ 3}}}\to ?
}\)