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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 \(x^4?\)

\[x^4 < x^3 < x^2 < x\] \[x < x^2 < x^3 < x^4\] \[x < x^3 < x^4 < x^2\] \[x^3 < x < x^2 < x^4\]

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by Andrew Ellinor

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