Probability: Rolling a 10-side dice, 10 times ending in 90+

So, 1 10-sided dice, rolling it 10X, getting a number higher than 90?
Hm, so my guess is since getting a 10 is 1/10 or 10%...and then multiplying it by 10 again is gonna be 1/100 so 1%...but...its more complicated right?

To get a number higher than 90 you have to get a 9 or better on every roll. Since it's a 10 sided die, you have a 2/10 chance each roll of getting the number you need. That means you have a (2/10)^10 chance of getting greater than a 90.

(2/10)^10 = 1/1953125 chance.