Equation xn−1=0,n>1,n∈N, has roots 1,a1,a2,…,an−1. The value of (1−a1)(1−a2)…(1−an−1) is

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Equation {x}^{{{n}}}-{1}={0},{n}{1},{n}{N}, { has roots } {1},

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Equation $x^{n} - 1 = 0, n > 1, n \in N, has roots 1, a_{1}, a_{2}, \dots, a_{n - 1} .$
The value of $(1 - a_{1}) (1 - a_{2}) \dots (1 - a_{n - 1})$ is

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Equation

x^{n} - 1 = 0, n > 1, n \in N, has roots 1, a_{1}, a_{2}, \dots, a_{n - 1} .

The value of

(1 - a_{1}) (1 - a_{2}) \dots (1 - a_{n - 1})

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Question Text

Equation

x^{n} - 1 = 0, n > 1, n \in N, has roots 1, a_{1}, a_{2}, \dots, a_{n - 1} .

The value of

(1 - a_{1}) (1 - a_{2}) \dots (1 - a_{n - 1})