Problem $11-(10$ Points$)$

A collection of logic gates for which the static power dissipation is zero, and the dynamic power dissipation is $10$ mW is operating at $1$ GHz with a $1\mathrm{.}2$ V supply. By what fraction could the power dissipation be reduced if operation at $1\mathrm{.}0$ V were possible? If the frequency of the operation is reduced by the same factor as the supply voltage $($i$.$e$.,1\mathrm{.}0/1\mathrm{.}2),$ what additional power can be saved?