Question

Answer 1

4:

a: \(=8\cdot25-71=200-71=129\)

b: \(=8\cdot16+81-40=128+41=169\)

c: \(=\left(-\dfrac{3}{4}\right)^3\cdot\left(\dfrac{8}{5}\right)^3=\left(\dfrac{-3}{4}\cdot\dfrac{8}{5}\right)^3=\left(-\dfrac{6}{5}\right)^3=-\dfrac{216}{125}\)

d: \(=\dfrac{1}{16}:\left(\dfrac{1}{6}\right)^3=\dfrac{1}{16}\cdot216=\dfrac{27}{2}\)

e: \(=4\cdot\dfrac{1}{16}+25\cdot\left[\left(\dfrac{3}{4}\cdot\dfrac{4}{5}\right)^3\right]\cdot\left(\dfrac{2}{3}\right)^3\)

\(=\dfrac{1}{4}+25\cdot\dfrac{27}{125}\cdot\dfrac{8}{27}=\dfrac{1}{4}+\dfrac{8}{5}=\dfrac{37}{20}\)

f: \(=8+3-1+8-8=10\)