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66.55=P\times \left(\frac{11}{10}\right)^{3}
Reduce the fraction \frac{110}{100} to lowest terms by extracting and canceling out 10.
66.55=P\times \frac{1331}{1000}
Calculate \frac{11}{10} to the power of 3 and get \frac{1331}{1000}.
P\times \frac{1331}{1000}=66.55
Swap sides so that all variable terms are on the left hand side.
P=66.55\times \frac{1000}{1331}
Multiply both sides by \frac{1000}{1331}, the reciprocal of \frac{1331}{1000}.
P=50
Multiply 66.55 and \frac{1000}{1331} to get 50.