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What is the value of x^4 1/x^4 when x 1/x=2? - Quora

[math]\text{This is a two step problem...}\\x \dfrac1x=2\\x^2 2 \dfrac1{x^2}=4\\\boxed{x^2 \dfrac1{x^2}=2}\\\left(x^2 \dfrac1{x^2}\right)^2=4\\x^4 \dfrac1{x^4} 2=4\\\boxed{x^4 \dfrac1{x^4}=2}\tag*{}[/math].

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