Which expression is equivalent to (h_5 15 q^7)/(h q^21), > 0 > 0 where h and q?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice A is correct. For positive values of a, am= a^m - nh, where m and n are an > > integers. Since it’s given that h 0 and q 0, this property can be applied to 15-5 7-21 10 -14 rewrite the given expression as ^h^ h h^q^ h h, which is equivalent to h q . For - n=1 positive values of a, a . This property can be applied to rewrite the 10 -14 10 an 1 10 h expression h q as ^h hc 14 m , which is equivalent to 14. q q Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.
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