Quotient Rule of Exponents Quick Check

2 of 52 of 5 Items
Question
Simplify a^67/b^34.(1 point)
Responses

a^67/b^34
Start Fraction a superscript 67 baseline over b superscript 34 baseline End Fraction

a^33
a superscript 33 baseline

ab^33
a b superscript 33 baseline

23

1 answer

To simplify the expression \( \frac{a^{67}}{b^{34}} \), we can analyze the options provided:

  1. \( \frac{a^{67}}{b^{34}} \) - This is the original expression and not simplified.

  2. \( a^{33} \) - This does not accurately represent the simplification of the expression.

  3. \( ab^{33} \) - This also does not simplify to the original expression.

  4. \( 23 \) - 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.