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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 \(x^4?\)

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

Excel in math and science

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It's hard to learn from lectures and videos

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Our wiki is made for math and science

Master advanced concepts through explanations,
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including olympiad champions, researchers, and professionals.

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by Andrew Ellinor

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