Answer:
Choice B
Explanation:
Given radical expression:
![\sqrt[4]{1296 {x}^(16) {y}^(12) }](https://img.qammunity.org/2023/formulas/mathematics/high-school/2qgc1u993ou8fyamjbfpl5x4seldho26yl.png)
To Find:
The Simpler form of this expression
Soln:
![= \sqrt[4]{1296 {x}^(16) {y}^(12) }](https://img.qammunity.org/2023/formulas/mathematics/high-school/pwhrxk0ijkvsc6n6jmv5868fek86xku9qw.png)
We could re-write the given expression, according to the law of exponents:
![= \tt \sqrt[4]{(6x {}^(4)y {}^(3)) {}^(4) }](https://img.qammunity.org/2023/formulas/mathematics/high-school/2m5eujd72f4fn9cd7ht6nqdey2b7xhxedd.png)
Now we need to bring terms out of the radical as:

Bring out 6x^4 from the absolute & put y^3 only in it:

Choice B is accurate.