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\frac{1}{2}\times \frac{3^{3}}{4}
Calculate 1 to the power of 4 and get 1.
\frac{1}{2}\times \frac{27}{4}
Calculate 3 to the power of 3 and get 27.
\frac{1\times 27}{2\times 4}
Multiply \frac{1}{2} times \frac{27}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{27}{8}
Do the multiplications in the fraction \frac{1\times 27}{2\times 4}.