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The question in the image seems to be asking for the correct simplification of a mathematical expression. Let's break down the main expression step by step to find the correct option.

### The expression is:
\[
\frac{\sqrt[4]{8} + \sqrt[4]{32}}{\sqrt{6} - \sqrt[3]{9}} - 2(\sqrt[7]{9} - 1)^{-1}
\]

We will simplify each part of this expression:

1. **Simplify the numerator**:
   - \(\sqrt[4]{8} + \sqrt[4]{32}\)

   \[
   \sqrt[4]{8} = (2^3)^{1/4} = 2^{

Learn how to simplify complex radical expressions using theorems of exponents and roots. This example covers radicals, exponents, and algebraic manipulation techniques suitable for Grades 10-12 students.

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