#### Answer

(a) 81
(b) -64
(c) 0.008

#### Work Step by Step

(a) Following order of operations and considering the exponent, we obtain:
$(-3)^{4}=-3\times-3\times-3\times-3=9\times9=81$
(b) Since the exponent does not encompass the negative sign, we obtain:
$-2^{6}=-(2)^{6}=-64$
(c) We first transform the decimal into a fraction to make the simplification easier. Then, following order of operations and considering the exponent, we obtain:
$(0.2)^{3}=(\frac{2}{10})^{3}=\frac{2^{3}}{10^{3}}=\frac{8}{1000}=0.008$