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\frac{9^{8}}{27^{6}}
Cancel out 27 in both numerator and denominator.
\frac{43046721}{27^{6}}
Calculate 9 to the power of 8 and get 43046721.
\frac{43046721}{387420489}
Calculate 27 to the power of 6 and get 387420489.
\frac{1}{9}
Reduce the fraction \frac{43046721}{387420489} to lowest terms by extracting and canceling out 43046721.