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\frac{1}{10000}\times \left(\frac{100}{9}\right)^{\frac{3}{2}}
Calculate 1000 to the power of -\frac{4}{3} and get \frac{1}{10000}.
\frac{1}{10000}\times \frac{1000}{27}
Calculate \frac{100}{9} to the power of \frac{3}{2} and get \frac{1000}{27}.
\frac{1}{270}
Multiply \frac{1}{10000} and \frac{1000}{27} to get \frac{1}{270}.