Question

the value of n is always?​

Answer 1

Answer:

value of n can always be predicted

Answer 2

Step-by-step explanation:

If n is non-integer, then we have to look closely about what the expression 1n actually means.

For example, let’s consider: x=11/4⟺x4=1

Sure, x4=1 has a “primary” root x=1 , but it also has other roots. In this case, x∈{1,−1,i,−i}

So in the most general case, we must accept that 1n returns a set of values, not always just a single value. In general, we can write it as:

1n={e2πmni:m∈Z}

If n is a rational number, with a reduced fraction n=pq then the set will have q different values. And if n is irrational, then the set will have a countable infinite number of values (since Z is countable).

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