Tag: multiplying and dividing integers

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Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

If ${ B }^{ 3 }A< 0$ and $A> 0$, which of the following must be negative?

  1. $AB$
  2. ${ B }^{ 2 }A$
  3. ${B}^{4}$
  4. $\cfrac { A }{ { B }^{ 2 } } $
  5. $-\cfrac { B }{ A } $
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A Correct answer
Explanation

If $A$ is positive ${B}^{3}$ must be negative. Therefore, $B$ must be negative. If $A$ is positive and $B$ is negative, the product $AB$ must be negative.