To simplify the expression \( \frac{a^{67}}{b^{34}} \), we can analyze the options provided:
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\( \frac{a^{67}}{b^{34}} \) - This is the original expression and not simplified.
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\( a^{33} \) - This does not accurately represent the simplification of the expression.
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\( ab^{33} \) - This also does not simplify to the original expression.
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\( 23 \) - This is a constant and not relevant to the expression involving \( a \) and \( b \).
None of the options provided accurately simplify \( \frac{a^{67}}{b^{34}} \), as there is no operation that combines them into one of the options. The expression itself does not simplify further with the information given:
Thus, the correct answer, based on the information provided, appears to be simply keeping it as \( \frac{a^{67}}{b^{34}} \). If you are looking for a specific simplification involving either \( a \) or \( b \), please clarify.