(-2)^3 x 3^0 x(-4)^-2

=(-2)^3 x 3^0 x (-4)^-2

=(-2)^3 x 1 x (-4)^-2 [Any number raised to the power of 0 is always 1]
=(-2)^3 x (-4)^-2
=-8 x (-1/16) [Using the property that (-a)^-n = 1/a^n]
= 8/16
= 1/2