Let's solve the expression \(\left(\frac{14^7}{9}\right)^{-\frac{4}{6}}\).

### Step-by-Step:

1. **Simplify the exponent \(-\frac{4}{6}\):**
   \[
   -\frac{4}{6} = -\frac{2}{3}
   \]
   The expression becomes:
   \[
   \left(\frac{14^7}{9}\right)^{-\frac{2}{3}}
   \]

2. **Apply the negative exponent rule:**
   \[
   a^{-n} = \frac{1}{a^n}
   \]
   So, we rewrite the expression

Learn how to simplify the expression (14^7/9)^(-4/6) with a detailed step-by-step solution. This example demonstrates concepts of exponents, rational exponents, and the negative exponent rule, making it suitable for students in Grades 9-10.

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