Question

x + 1/x = -1,then x to the power 2017 + 1/x to the power 2017 =?
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Answer 1

Answer:

$- 1$

Step-by-step explanation:

We know that any negative number raised to a even number is postive and to an odd number is negative.

Here,

$\frac{ x + 1}{x} = - 1 \\ \\ \frac{(x + 1)^{2017} }{ {x}^{2017} } = ( \frac{(x + 1)}{x} )^{2017} \\ \\ = { - 1}^{2017} \\ = - 1$

The answer is negative 1.