Which expression is equivalent to h 15 q 7 h 5 q 21 , where h > 0 and q

Question

Which expression is equivalent to h 15 q 7 h 5 q 21 , where h &#62; 0 and q &#62; 0 ?

Accepted Answer

Choice A is correct. For positive values of a , a m a n = a m - n , where m and n are integers. Since it's given that h > 0 and q > 0 , this property can be applied to rewrite the given expression as h 15 - 5 q 7 - 21 , which is equivalent to h 10 q - 14 . For positive values of a , a - n = 1 a n . This property can be applied to rewrite the expression h 10 q - 14 as h 10 1 q 14 , which is equivalent to h 10 q 14 . 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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