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We explore the behaviors of the holographic superconductors at zerotemperature for a charged scalar field coupled to a Maxwell field inhigher-dimensional AdS soliton spacetime via analytical way. In the probelimit, we obtain the critical chemical potentials increase linearly as a totaldimension $d$ grows up. We find that the critical exponent for condensationoperator is obtained as 1/2 independently of $d$, and the charge density islinearly related to the chemical potential near the critical point.Furthermore, we consider a slightly generalized setup theEinstein-Power-Maxwell field theory, and find that the critical exponent forcondensation operator is given as $1/(4-2n)$ in terms of a power parameter $n$of the Power-Maxwell field, and the charge density is proportional to thechemical potential to the power of $1/(2-n)$.

The holographic superconductors in higher-dimensional AdS soliton