7. Вычислить: 16^(1/2)−(1/16)^−3/4+(1/2)^4.

\(16^{1/2}=4\), \(\left(\frac1{16}\right)^{-3/4}=16^{3/4}=8\), \(\left(\frac12\right)^4=\frac1{16}\).

\(4-8+\frac1{16}=-4+\frac1{16}=-\frac{63}{16}\).

Ответ: \(-\frac{63}{16}\).