100. \( \left(\frac{3 x^{2} y^{4}}{z}\right)^{3} \)

When you raise a fraction to a power, you can distribute the exponent to both the numerator and the denominator. So, \( \left(\frac{3 x^{2} y^{4}}{z}\right)^{3} \) becomes \( \frac{(3 x^{2} y^{4})^{3}}{z^{3}} \). Now, calculating the numerator, you get \( 3^{3} = 27 \), \( (x^{2})^{3} = x^{6} \), and \( (y^{4})^{3} = y^{12} \). Therefore, the full expression results in \( \frac{27 x^{6} y^{12}}{z^{3}} \). So the final answer is: \( \frac{27 x^{6} y^{12}}{z^{3}} \).