The given expression is
[tex]\sqrt[3]{135}[/tex]First, we have to express 135 as prime factors.
135 | 5
27 | 3
9 | 3
3 | 3
1
Then, we express all 3s as power.
[tex]135=5\cdot3^3[/tex]Then, we use this inside the root.
[tex]\sqrt[3]{5\cdot3^3}[/tex]The power can get out the root because it has the same power as the root.
Therefore, the final expression is
[tex]3\sqrt[3]{5}[/tex]