Answer:

Explanation:
You want √(x³ +y³) written with a rational exponent, and 27^(4/3) written as a ratio of integers.
Root
The square root is the same as the 1/2 power. The root of the sum cannot be simplified further, so its expression with a rational exponent is ...

Power
The expression 27^(4/3) can be simplified to ...
![27^(4)/(3)=(\sqrt[3]{27})^4=3^4=81=\boxed{(81)/(1)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/2i0bofoc72cisw5520tzwx3c9qrpmyv1u1.png)
<95141404393>