Question

if
$x + 1 \x = 2$
then what is the value of
${x}^{101} + 1 \x^ {101}$

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Answer 1

x + 1 = 2
x = 2 - 1
x = 1

x^ 101 + 1^101 = ?
1^101 + 1^101 = ?
1 + 1 = 2