Difference between revisions of "AoPS Wiki talk:Problem of the Day/July 10, 2011"
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==Solution== | ==Solution== | ||
| − | {{ | + | <math> (-\frac{1}{125})^{-\frac{2}{3}}=(-125)^{\frac{2}{3}}=(-125^{\frac{1}{3}})^2=(\sqrt[3]{-125})^2=(-5)^2=\boxed{25} </math> |
![$(-\frac{1}{125})^{-\frac{2}{3}}=(-125)^{\frac{2}{3}}=(-125^{\frac{1}{3}})^2=(\sqrt[3]{-125})^2=(-5)^2=\boxed{25}$](http://latex.artofproblemsolving.com/4/1/b/41b7d651ca61667b23ed432c2274d740c49e7bc8.png)
