Answer is: the percent ionization of weak acid is 0.266%.
 Chemical reaction: HA(aq) ⇄ H⁺(aq) + A⁻(aq).
 Ka(HA) = 7.1·10⁻⁷.
 c(HA) = 0.10 M.
 [H⁺] = [A⁻] = x; equilibrium concentration.
 [HA] = 0.10 M - x.
 Ka = [H⁺] · [A⁻] / [HA].
 0,00000071 = x² / 0.1 M - x.
 Solve quadratic equation: x = 0.000266 M.
 α = 0.000266 ÷ 0.1 M · 100% = 0.266%.