To compute \((\frac{2}{5})^{-3}\), we can use the property of exponents that states \(x^{-n} = \frac{1}{x^n}\).
So, we have:
\[ (\frac{2}{5})^{-3} = \frac{1}{(\frac{2}{5})^3} \]
Next, we need to calculate \((\frac{2}{5})^3\):
\[ (\frac{2}{5})^3 = \frac{2^3}{5^3} = \frac{8}{125} \]
Now, substituting this back into our equation:
\[ (\frac{2}{5})^{-3} = \frac{1}{\frac{8}{125}} = \frac{125}{8} \]
Thus, the value of \((\frac{2}{5})^{-3}\) is \(\frac{125}{8}\).
From the options provided, the answer is:
125/8.