a,\(5^3\left[\left(-7\right)+\left(-2\right)^3\right]+4\)
\(=125.\left[\left(-7\right)+\left(-8\right)\right]+4\)
\(=125.\left(-15\right)+4\)
\(=-1875+4=-1871.\)
b,\(47\left(45-15\right)-47\left(45+15\right)\)
\(=47\left(45-15-45-15\right)\)
\(=47.\left(-30\right)=-1410.\)
c,\(71.64-32.\left(-7\right)-32.\left(-11\right)\)
\(=32.\left(142+7+11\right)\)
\(=32.160=5120.\)