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Ordered Powers

Algebra Level 2

If $-1 < x < 0,$ then what is the correct ordering of $x, x^2, x^3,$ and $x^4?$

x < x^2 < x^3 < x^4

x^4 < x^3 < x^2 < x

x^3 < x < x^2 < x^4

x < x^3 < x^4 < x^2

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by Andrew Ellinor

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