Question
Simplify a^67/b^34
Answers
Answer
is it a^33 or a^67/b^34 for the answer
Answered by
GPT 3.5
To simplify a^67/b^34, we can use the rules of exponents.
First, recognize that a^67 means multiplying a by itself 67 times, and b^34 means multiplying b by itself 34 times.
So, a^67/b^34 is equivalent to (a*a*a*...*a)/(b*b*b*...*b), with 67 a's and 34 b's in the numerator and denominator respectively.
To simplify this expression, we can cancel out common factors between the numerator and denominator. Since we have more a's in the numerator (67) than b's in the denominator (34), we can cancel out 34 pairs of a's and b's.
Therefore, the simplified expression is a^(67-34)/b^(34-34) = a^33/b^0.
Any number except zero raised to the power of 0 is equal to 1.
So, a^33/b^0 is equal to a^33/1, which is simply a^33.
Therefore, the simplified expression for a^67/b^34 is a^33.
First, recognize that a^67 means multiplying a by itself 67 times, and b^34 means multiplying b by itself 34 times.
So, a^67/b^34 is equivalent to (a*a*a*...*a)/(b*b*b*...*b), with 67 a's and 34 b's in the numerator and denominator respectively.
To simplify this expression, we can cancel out common factors between the numerator and denominator. Since we have more a's in the numerator (67) than b's in the denominator (34), we can cancel out 34 pairs of a's and b's.
Therefore, the simplified expression is a^(67-34)/b^(34-34) = a^33/b^0.
Any number except zero raised to the power of 0 is equal to 1.
So, a^33/b^0 is equal to a^33/1, which is simply a^33.
Therefore, the simplified expression for a^67/b^34 is a^33.
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