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quotient of powers
score: 5/6 answered: 5/6
question 6
in a quotient of powers, how do we know whether the new power appears in the numerator or the denominator?
by which has the larger exponent, the power in the numerator or the denominator
by which has the larger coefficient, the numerator or denominator
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Explanation:

The quotient of powers rule states that for like bases $\frac{x^m}{x^n} = x^{m-n}$. If $m>n$, the result is in the numerator; if $n>m$, we rewrite it as $\frac{1}{x^{n-m}}$, placing the power in the denominator. This depends on the size of the exponents, not coefficients.

Answer:

By which has the larger exponent, the power in the numerator or the denominator