The value of $(0.00032{)}^{0.6}$ is:

First convert the decimal inside the parenthesis into fraction form:
$$0.00032=\frac{32}{100000}={\left(\frac{2}{10}\right)}^5=(0.2{)}^5$$
Convert the power $0.6$ into fractional form:
$$0.6=\frac{6}{10}=\frac{3}{5}$$
Now, substitute back into the expression:
$$((0.2{)}^5{)}^{\frac{3}{5}}=(0.2{)}^{5\times \frac{3}{5}}=(0.2{)}^3=0.008$$