Explanation:
In Spte 4, he used the rational exponet rule which gave him.
![\sqrt[3]{5 {}^(4) }](https://img.qammunity.org/2023/formulas/mathematics/college/wnkfs06qawz7qe70kxp4yp022ffce0x34w.png)
He then, by definition of an exponet rewrite 5^4 inside the radical as
![\sqrt[3]{5 * 5 * 5 * 5}](https://img.qammunity.org/2023/formulas/mathematics/college/vzxq8drjmsoox7nhknwc8h2rllx7difpo7.png)
Since this a cube root root we have three 5, we cancel out those 5 and write only one on the outside of the radicand.
![5 \sqrt[3]{5}](https://img.qammunity.org/2023/formulas/mathematics/college/qoybaz1tl4f0a5v7zdqxirbk1zlmh0qn72.png)
2. The rational exponent property and radicand rules allows us to do this.
3/4. You can look up examples of one.