What is the value of (5 over 4)^−3

To calculate \((\frac{5}{4})^{-3}\), we can use the property of exponents that states \(a^{-n} = \frac{1}{a^n}\).

So, we have:

\[ \left(\frac{5}{4}\right)^{-3} = \frac{1}{\left(\frac{5}{4}\right)^{3}} \]

Next, we calculate \(\left(\frac{5}{4}\right)^{3}\):

\[ \left(\frac{5}{4}\right)^{3} = \frac{5^3}{4^3} = \frac{125}{64} \]

Now, substituting this back, we find:

\[ \left(\frac{5}{4}\right)^{-3} = \frac{1}{\frac{125}{64}} = \frac{64}{125} \]

Therefore, the value of \((\frac{5}{4})^{-3}\) is:

\[ \frac{64}{125} \]

Thus, the correct response is:

64 over 125.