What is Dimensional Formula of Rydberg constant?

Rydberg formula expressed wave number in terms of constant common to all series of lines known as  Rydberg constant.

Rydberg formula defines the  relationship of frequencies in one series of lines.Rydberg formula: N = R [1/(n+a)² – 1/ (m + b)²] where N is wave number, R is Rydberg constant; m and n are integers, m is greater than n; and a and b are constants for particular series.

Mathematically,
Rydberg constant (R) = me⁴ / 8π  ε_0²  h²
where

m = electron mass
e = electron charge
ε₀ = permittivity of free space
h = Planck’s Constant

so putting all the dimensional formulas in the above equation we get

Dimensional formula of Rydberg constant = [M¹L⁰T⁰] [M⁰L⁰A¹T¹]⁴ / [(M^-1L^-3T⁴A²)²] [(M¹L²T^-1)²]  ]

Dimensional formula of Rydberg constant = M⁰L^-1T⁰
SI unit of Rydberg constant is m^-1