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\frac{1}{\frac{3}{2}r^{2}+\frac{3}{2}z^{2}}
Use the distributive property to multiply r^{2}+z^{2} by \frac{3}{2}.
\frac{1}{\frac{3}{2}r^{2}+\frac{3}{2}z^{2}}
Use the distributive property to multiply r^{2}+z^{2} by \frac{3}{2}.