To simplify the expression \((14^3 \times 27^{-7})^0 / 3^4\) with only positive exponents, we can follow these steps:
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Apply the Power of Zero Rule:
- Any expression raised to the power of zero is equal to 1. \[ (14^3 \times 27^{-7})^0 = 1 \]
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Rewrite the Expression:
- Now our expression becomes: \[ \frac{1}{3^4} \]
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Calculate \(3^4\): \[ 3^4 = 3 \times 3 \times 3 \times 3 = 81 \]
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Create the Simplified Expression:
- Thus, we have: \[ \frac{1}{81} \]
This fraction \( \frac{1}{81} \) is already in its simplest form with no remaining exponents.
The final answer is: \[ \frac{1}{81} \]