More odd patterns and even too!

Number Theory Level pending

What is the last digit of: \[ \begin{array} {llllllll} & 2^{2}& \times3^{3}& \times4^{4}& \times6^{6}& \times7^{7}& \times8^{8}& \times9^{9}\\ \times & 12^{12} & \times13^{13} &\times14^{14} &\times16^{16} &\times17^{17} &\times18^{18} &\times19^{19} \\ \times & \ldots & & & & & &\times99^{99} \end{array} \]

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