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If $x$ is an element of the set $\{ -1, 1, 2 \}$ and $y$ is an element of $\{ -2, -1, 0, 1, 2 \}$, how many distinct values of $x^y$ are positive?

 Feb 22, 2021
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x = 2 ==> every value of x^y is positive             {1/4, 1/2, 1, 2, 4}

 

x = 1 ==> every value of x^y is positive              {1}

 

x = -1 ==> x^y is positive if y is even                {-1, 1}

 

There are 5 distinct values of x^y: 1/4, 1/2, 1, 2, 4

 Feb 22, 2021

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