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\frac{1}{6^{3}}+3^{-3}
Rewrite 6^{-5} as 6^{-8}\times 6^{3}. Cancel out 6^{-8} in both numerator and denominator.
\frac{1}{216}+3^{-3}
Calculate 6 to the power of 3 and get 216.
\frac{1}{216}+\frac{1}{27}
Calculate 3 to the power of -3 and get \frac{1}{27}.
\frac{1}{24}
Add \frac{1}{216} and \frac{1}{27} to get \frac{1}{24}.