Partial answer with "simple" operators:
(10 + 10) / (10 + 10) = 1
(10 / 10) + (10 / 10) = 2
(10 + 10 + 10) / 10 = 3
((10 / 10) + (10 / 10))² = 4
(10 * 10) / (10 + 10) = 5
((10 + 10 + 10) / 10)! = 6 (thanks to Kepotx)
10 10 10 10 = 7
((10 / 10) + (10 / 10))³ = 8
((10 * 10) - 10) / 10 = 9
10 + (10 - 10) * 10 = 10