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\frac{9x^{4}}{18x^{4}+9^{4}x^{4}}
Expand \left(9x\right)^{4}.
\frac{9x^{4}}{18x^{4}+6561x^{4}}
Calculate 9 to the power of 4 and get 6561.
\frac{9x^{4}}{6579x^{4}}
Combine 18x^{4} and 6561x^{4} to get 6579x^{4}.
\frac{1}{731}
Cancel out 9x^{4} in both numerator and denominator.