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\frac{3x^{3}}{3^{3}x^{3}}
Expand \left(3x\right)^{3}.
\frac{3x^{3}}{27x^{3}}
Calculate 3 to the power of 3 and get 27.
\frac{1}{9}
Cancel out 3x^{3} in both numerator and denominator.