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\frac{9}{4}+\left(\frac{1}{2}\right)^{-1}\times \frac{5}{2}
Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.
\frac{9}{4}+2\times \frac{5}{2}
Calculate \frac{1}{2} to the power of -1 and get 2.
\frac{9}{4}+5
Multiply 2 and \frac{5}{2} to get 5.
\frac{29}{4}
Add \frac{9}{4} and 5 to get \frac{29}{4}.