Which expression is equivalent to m 4 q 4 z - 1 m q 5 z 3 , where m

Question

Which expression is equivalent to m 4 q 4 z - 1 m q 5 z 3 , where m , q , and z are positive?

Accepted Answer

Choice B is correct. Applying the commutative property of multipliion, the expression m 4 q 4 z - 1 m q 5 z 3 can be rewritten as m 4 m q 4 q 5 z - 1 z 3 . For positive values of x , x a x b = x a + b . Therefore, the expression m 4 m q 4 q 5 z - 1 z 3 can be rewritten as m 4 + 1 q 4 + 5 z - 1 + 3 , or m 5 q 9 z 2 . 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.

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