a: \(=4\cdot\dfrac{1}{16}+25\cdot\left[\left(\dfrac{3}{4}:\dfrac{5}{4}\right)\right]^3\cdot\dfrac{27}{8}\)
\(=\dfrac{1}{4}+25\cdot\left(\dfrac{3}{5}\cdot\dfrac{3}{2}\right)^3\)
\(=\dfrac{1}{4}+25\cdot\left(\dfrac{9}{10}\right)^3\)
\(=\dfrac{1}{4}+25\cdot\dfrac{729}{1000}=\dfrac{739}{40}\)
b: \(=8+3-1+\left[4:\dfrac{1}{2}\right]-8\)
=10
`4 . (1/2)^2 + 25 . [ (3/4)^3 : (5/4)^3] . (3/2)^3`
` =4 . 1/4 + 25 . [ 27/64 : 125/64] . 27/8`
`= 4 . 1/4 + 25 . [ 27/64 xx 64/125] . 27/8`
`= 4 . 1/4 + 25 . 27/125 . 27/8`
`= 1 + 27/5 . 27/8`
`=1 + 729/40`
`=769/40`
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`2^3 + 3 . (1/2)^0 -1 + [ (-2)^2 : 1/2] - 8`
` = 8 + 3 - 1 + [ 4xx2] - 8`
` = 8 + 3 - 1 + 8 -8`
` = 11-1 + 8 - 8`
`=10 + 8 -8`
`=10`
