In the complex number system, what is the value of the expression \( 10i^4-4i^2-2\) ? (Note: \(i=\sqrt{-1})\)

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The first few powers of \(i\):

$$ i=\sqrt{-1} $$ $$ i^2=(\sqrt{-1})^2=-1 $$ $$ i^4 = (i^2)^2 =(-1)^2 =1 $$

Therefore,

$$10i^4-4i^2-2 $$ $$ 10(1)-4(-1)-2 $$ $$ 10+4-2 $$ $$ = \boxed{12} $$