`1024:2^6 +160:(3^3 +53)-9^100 :9^99`
`=2^10 :2^6 +160:(27+53)-9^(100-99)`
`=2^(10-6)+160:80-9^1`
`=2^4 +2-9`
`=16+2-9`
`=18-9`
`=9`
\(1024:2^6+160:\left(3^3+53\right)-9^{100}:9^{99}\)
\(=2^{10}:2^6+160:\left(27+53\right)-9^{100-99}\)
\(=2^{10-6}+160:80-9\)
\(=2^4+2-9\)
\(=16+2-9\)
\(=9\)