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\frac{512}{\frac{-6^{7}}{3^{7}}}
Calculate 2 to the power of 9 and get 512.
\frac{512}{\frac{-279936}{3^{7}}}
Calculate 6 to the power of 7 and get 279936.
\frac{512}{\frac{-279936}{2187}}
Calculate 3 to the power of 7 and get 2187.
\frac{512}{-128}
Divide -279936 by 2187 to get -128.
-4
Divide 512 by -128 to get -4.