a. \(\left(20.2^4+12.2^4-48.2^2\right):8^2\)
= \(\left[2^4.\left(20+12\right)-48.4\right]:64\)
= \(\left[16.32-192\right]:64\)
= \(\left[512-192\right]:64\)
= \(320:64\)
= \(5\)
b. \(\left(75.5^2+175.54\right):\left(20.125-625.75\right)\)
= \(\left(75.25+175.54\right):\left(20.125-625.75\right)\)
= \(\left(1875+9450\right):\left(2500-46875\right)\)
= \(11325:\left(-44375\right)\)
= \(\dfrac{-453}{1775}\)
c. \(\left[6.64.8^2:\left(4^3-2^5.16\right)\right]\)
= \(\left[6.64.64:\left(64-32.16\right)\right]\)
= \(\left[24576:\left(64-512\right)\right]\)
= \(\left[24576:\left(-448\right)\right]\)
= \(\dfrac{-387}{7}\)