1) $5^6:5^4+2^3.2^2-1^{2017}$
$=5^{6-4}+2^{3+2}-1$
$=5^2+2^5-1$
$=25+32-1$
$=56$
2) $23.75+25.10+25.13+180$
$=23.3.25+25.10+25.13+180$
$=25.(23.3+10+13)+180$
$=25.92+180$
$=2300+180$
$=2480$
3) $36.4-4.(82-7.11)^2:4-2016^0$
$=36.4-(82-77)^2-1$
$=144-5^2-1$
$=144-25-1$
$=118$
4) $303-3.\{[655-(18:2+1).4^3+5]\}:10^0$
$=303-3.\{[655-(9+1).64+5]\}:1$
$=303-3.\{[655-10.64+5]\}$
$=303-3.20$
$=303-60$
$=243$
5) $5^9:5^7+12.3+7^0$
$=5^{9-7}+36+1$
$=5^2+36+1$
$=62$