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\frac{3}{2}+\left(\frac{1}{16}\right)^{\frac{3}{4}}
Calculate \frac{4}{9} to the power of -\frac{1}{2} and get \frac{3}{2}.
\frac{3}{2}+\frac{1}{8}
Calculate \frac{1}{16} to the power of \frac{3}{4} and get \frac{1}{8}.
\frac{13}{8}
Add \frac{3}{2} and \frac{1}{8} to get \frac{13}{8}.