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\frac{243}{9^{2}}\times 27^{-1}
Calculate 3 to the power of 5 and get 243.
\frac{243}{81}\times 27^{-1}
Calculate 9 to the power of 2 and get 81.
3\times 27^{-1}
Divide 243 by 81 to get 3.
3\times \frac{1}{27}
Calculate 27 to the power of -1 and get \frac{1}{27}.
\frac{1}{9}
Multiply 3 and \frac{1}{27} to get \frac{1}{9}.