BOOM!!
It's Very Simple! ((10^n)-1))/(10^n)) never is (10^n)/(10^n) for any n!.

is this man still here
Yes, to Entertain and Strain your Brain!
While Patsers and idiots post here to Complain and to leave obnoxious stain.

is this man still here
Yes, to Entertain and Strain your Brain!
While Patsers and idiots post here to Complain and to leave obnoxious stain.
Updated.

No, this is not true. The expression ((10n)-1))/(10n)) is equal to (10n)/(10n) for any n that is zero or a negative integer. For example, when n = 0, we have ((100)-1))/(100)) = (1-1)/1 = 0, which is the same as (100)/(100) = 1/1 = 0. When n = -1, we have ((10-1)-1))/(10-1)) = ()/ = -9, which is the same as (10-1)/(10-1) = / = -9. You can use a calculator to verify this for other values of n that are zero or negative. However, when n is a positive integer, the expression ((10n)-1))/(10n)) is never equal to (10n)/(10n), because the numerator is always one less than the denominator, and the fraction is always less than one. For example, when n = 1, we have ((101)-1))/(101)) = (10-1)/10 = , which is not the same as (101)/(101) = 10/10 = 1. When n = 2, we have ((102)-1))/(102)) = (100-1)/100 = 9, which is not the same as (102)/(102) = 100/100 = 1. You can see that the expression ((10n)-1))/(10n)) gets closer to one as n increases, but it never reaches one.

I did not miss . I used same expression as you did in your example: ((10n)-1))/(10n)). The expression is equal to (10n)/(10n) for any n that is zero or a negative integer, and not equal to it for any n that is positive integer. You can try it yourself with calculator

I did not miss . I used same expression as you did in your example: ((10n)-1))/(10n)). The expression is equal to (10n)/(10n) for any n that is zero or a negative integer, and not equal to it for any n that is positive integer. You can try it yourself with calculator
Never did I write 10n in any of my posts. Just 10^n
Any natural number n.
9/10 is not 10/10
99/100 is not 100/100
999/1000 is not 1,000/1,000
((10^1000)-1))/((10^1000)) is not ((10^1000))/((1^1000))