If $\left[\frac{1}{5}\right]^{3x} = 0.008$, then the value of $(0.25)^x$ is -

Explanation

$$ \left[\frac{1}{5}\right]^{3x} = 0.008 $$ $$ \left[\frac{1}{5}\right]^{3x} = \frac{8}{1000} $$ $$ \left[\frac{1}{5}\right]^{3x} = \left(\frac{2}{10}\right)^3 $$ $$ \left[\frac{1}{5}\right]^{3x} = \left(\frac{1}{5}\right)^3 $$ x = 1 According to the question $(0.25)^x = (0.25)^1 = 0.25$