\(\left(-\frac{1}{2}\right)^2\div\left(-\frac{1}{4}\right)-2\times\left(-\frac{1}{2}\right)^3+\left(25-23\right)^2\)
\(=\frac{1}{4}\div\left(-\frac{1}{4}\right)-2\times\left(-\frac{1}{8}\right)+2^2\)
\(=-1+\frac{1}{4}+4\)
\(=\frac{13}{4}\)
*****
\(25^{10}\times\left(\frac{1}{5}\right)^{20}+\left(-\frac{3}{4}\right)^8\times\left(-\frac{4}{3}\right)^8-2016^0\)
\(=25^{10}\times\left[\left(\frac{1}{5}\right)^2\right]^{10}+\left[\left(-\frac{3}{4}\right)\times\left(-\frac{4}{3}\right)\right]^8\)
\(=25^{10}\times\left(\frac{1}{25}\right)^{10}+1^8-0\)
\(=\left(25\times\frac{1}{25}\right)^{10}+1\)
\(=1^{10}+1\)
= 1 + 1
= 2
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