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\frac{10\times 3^{4}}{9}
Divide \frac{10}{9} by \frac{1}{3^{4}} by multiplying \frac{10}{9} by the reciprocal of \frac{1}{3^{4}}.
\frac{10\times 81}{9}
Calculate 3 to the power of 4 and get 81.
\frac{810}{9}
Multiply 10 and 81 to get 810.
90
Divide 810 by 9 to get 90.