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4 Which expression is equivalent^- to ( m q^4 z^−1)( mq^5 z^3), where m, q, and z are positive? 4
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice B is correct. Applying the commutative property of multiplication, the 4 4 -1 5 3 4 4 5 -1 3 expression ^m q z h^mq z h can be rewritten as ^m mh^q q h^z z h. For a b = a + b 4 4 5 -1 3 positive values of x, ^x h^x h x . Therefore, the expression ^m mh^q q h^z z h 4+1 4+5 -1+3 5 9 2 can be rewritten as ^m h^q h^z h, or m q z . Choice A is incorrect and may result from multiplying, not adding, the exponents. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors. 34 SAT PRACTICE TEST #10 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1
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