The expression you provided is \( \frac{(11x^{-4})^0}{t^{-4}u^4} \).
Let's simplify it step by step:
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Evaluate the term with the exponent 0: Any non-zero expression raised to the power of 0 is equal to 1. Therefore, \( (11x^{-4})^0 = 1 \).
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Now simplify the fraction: \[ \frac{1}{t^{-4}u^4} \]
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Rewrite \( t^{-4} \): Recall that \( t^{-n} = \frac{1}{t^n} \), so \( t^{-4} = \frac{1}{t^4} \). Thus, \[ t^{-4} = \frac{1}{t^4} \implies \frac{1}{t^{-4}} = t^4 \]
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Combine the results: \[ \frac{1}{t^{-4}u^4} = \frac{1}{\frac{1}{t^4} u^4} = t^4 u^{-4} \]
So, the full simplified expression is:
\[ \frac{1}{t^{-4}u^4} = \frac{t^4}{u^4} \]
Hence, the final answer is:
\[ \frac{t^4}{u^4} \]
or alternatively expressed as:
\[ \frac{t^4}{u^4} = \frac{t^4}{u^4} = t^4 u^{-4} \]
If you need further assistance or have other questions, let me know!