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\left(-\frac{3my^{3}}{z^{2}x^{3}}\right)^{0}
Cancel out yz^{2} in both numerator and denominator.
\left(-1\right)^{0}\times \left(\frac{3my^{3}}{z^{2}x^{3}}\right)^{0}
Expand \left(-\frac{3my^{3}}{z^{2}x^{3}}\right)^{0}.
1\times \left(\frac{3my^{3}}{z^{2}x^{3}}\right)^{0}
Calculate -1 to the power of 0 and get 1.
1\times 1
Calculate \frac{3my^{3}}{z^{2}x^{3}} to the power of 0 and get 1.
1
Multiply 1 and 1 to get 1.