Answer:

Explanation:
According to the question:
Fraction with 6 minus 3 times 6 in the numerator and the cube root of 8 plus 9 in the denominator.
We can write it mathematically as:
![\sf \frac{6-3* 6}{\sqrt[3]{8}+9}](https://img.qammunity.org/2024/formulas/mathematics/college/36zbrefid32n30p6lkly9pwyvjjdqd9tda.png)
Simplifying the numerator, we get:
![\sf \sf \frac{6-3* 6 }{\sqrt[3]{8}+9}=\frac{-12}{\sqrt[3]{8}+9}](https://img.qammunity.org/2024/formulas/mathematics/college/lgwzl7zm271m06w22r8hbjccl6awnjdl6k.png)
Simplifying the denominator, we get:
![\sf \frac{-12}{\sqrt[3]{8}+9} = \frac{-12}{\sqrt[3]{2^3}+9} = (-12)/(2+9)=(-12)/(11)](https://img.qammunity.org/2024/formulas/mathematics/college/2jfas6em056avg3ftacngk2e1uoy2m4xzc.png)
Therefore, the simplified expression is:

So, the answer is
.