Răspuns:
Explicație pas cu pas:
a={[2^3x5^2+(25^50:5^99+2^2x3)x5^2]:5^3+2^7+11^1991:(11^2)^995}:(3^3+3^2)
a={[2^3x5^2+((5^2)^50:5^99+2^2x3)x5^2]:5^3+2^7+11^1991:11^(995x2)}:(3^3+3^2)
a={[2^3x5^2+(5^100:5^99+2^2x3)x5^2]:5^3+2^7+11^1991:11^1990}:(3^3+3^2)
a={[2^3x5^2+(5+2^2x3)x5^2]:5^3+2^7+11}:(3^3+3^2)
a={[8x25+(5+12)x25]:125+128+11}:36
a={[8x25+17x25]:125+139}:36
a={(625):125+139}:36
a=144:36
a=4
Pentru simplificarea calcului:
25=5^2
25^50:5^99 = ((5^2)^50:5^99) = 5^100:5^99 = 5^(100-99) = 5^1 = 5
11^1991:(11^2)^995 = 11^1991:11^(2x995) = 11^1991-1990 = 11^1 = 11
Iar apoi se efectueaza operatiile din paranteze: ridicarea la putere prima data, apoi inmultire si impartire, iar mai apoi adunarea si scaderea -> !!! ordinea operatiilor. Parantezele se efectueaza de la interior spre exterior (prima data parantezele rotunde, apoi cele patrate, iar la final acoladele.
