Express Base and Exponent as Fractions

$0.04 = \frac{4}{100} = \frac{1}{25} = 5^{-2}-1.5 = -\frac{3}{2}$

$0.04 = 5^{-2}$ and $-1.5 = -3/2$

Apply Power of a Power Rule

$(0.04)^{-1.5} = (5^{-2})^{-3/2} = 5^{(-2) \times (-3/2)} = 5^3 = 125$

Value $= 125$