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\left(\frac{15}{27}\right)^{3}
Multiply 3 and 5 to get 15.
\left(\frac{5}{9}\right)^{3}
Reduce the fraction \frac{15}{27} to lowest terms by extracting and canceling out 3.
\frac{125}{729}
Calculate \frac{5}{9} to the power of 3 and get \frac{125}{729}.