Answer
36.6
Work Step by Step
$abs(-4^7)\div(\frac{3^3}{4^{-2}}+\frac{4^3}{\sqrt {16}})$
$4^7\div(\frac{27}{1/(4^2)}+\frac{4^3}{4})$
$4^7\div(\frac{27}{1/16}+4^2)$
$4^7\div(\frac{27}{1/16}+4^2)$
$4^7\div(\frac{27}{1/16}*\frac{16}{16}+4^2)$
$4^7\div(\frac{27*16}{1}+4^2)$
$4^7\div(3^3*4^2+4^2)$
$4^7\div(27*16+16)$
$4^7\div(432+16)$
$16384/448$
$36.57$