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\left(12-\frac{5}{2}\times 3\right)^{\frac{2}{5}}
Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.
\left(12-\frac{15}{2}\right)^{\frac{2}{5}}
Multiply \frac{5}{2} and 3 to get \frac{15}{2}.
\left(\frac{9}{2}\right)^{\frac{2}{5}}
Subtract \frac{15}{2} from 12 to get \frac{9}{2}.