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\left(-2\times 3\times \frac{6+1}{6}\right)^{3}
Divide -1 by \frac{1}{2} by multiplying -1 by the reciprocal of \frac{1}{2}.
\left(-6\times \frac{6+1}{6}\right)^{3}
Multiply -2 and 3 to get -6.
\left(-6\times \frac{7}{6}\right)^{3}
Add 6 and 1 to get 7.
\left(-7\right)^{3}
Multiply -6 and \frac{7}{6} to get -7.
-343
Calculate -7 to the power of 3 and get -343.