For this case we have that by definition of power properties it is fulfilled that:
[tex]a ^ {\frac {m} {n}} = \sqrt [n] {a ^ m}[/tex]
So, if we have the following expression:
[tex]10 ^ {\frac {1} {3}}[/tex]
Using the mentioned property, we can rewrite it as:
[tex]\sqrt [3] {10 ^ 1} = \sqrt [3] {10}[/tex]
Answer:
Using the mentioned power property, it is justified that:
[tex]10 ^ {\frac {1} {3}} = \sqrt [3] {10}[/tex]
