Question
Evaluate the expression \( (-2.6)^{4}(-2.6)^{-4} \) \( \square \)
Ask by Cox Zimmerman. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The expression simplifies to 1.
Solution
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Beyond the Answer
Let’s evaluate the expression \( (-2.6)^{4}(-2.6)^{-4} \). First, we observe that \( (-2.6)^{-4} \) is the same as \( \frac{1}{(-2.6)^{4}} \). Therefore, the expression can be rewritten as: \[ (-2.6)^{4} \cdot \frac{1}{(-2.6)^{4}} = \frac{(-2.6)^{4}}{(-2.6)^{4}} = 1 \] So, the value of the expression is \( 1 \). \[ \boxed{1} \]
