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\left(-\frac{4+1}{4}\right)^{-3}
Multiply 1 and 4 to get 4.
\left(-\frac{5}{4}\right)^{-3}
Add 4 and 1 to get 5.
-\frac{64}{125}
Calculate -\frac{5}{4} to the power of -3 and get -\frac{64}{125}.