Question

26. Calculati:
a. [6^5•(-6)^3]^2:6^5

Answer 1

Răspuns:

primul forma:

[6^5(-6)^3]^2÷6^5=(6^5+6^3)^2÷6^5=(7776+216)^2÷6^5=(7776)^2÷6^5=63872064÷6^5=63872064=8214

a doua forma:

[6^5(-6)^3]^2÷6^5=[(6^5)2-2×6^5×(-6)^3+[(-6)^3]^2]÷6^5=[6^10-2×6^5×(-6)^3+(-6)^6]/6^5(le impartim toate la 6^5)=6^10-2×6^5×(-6^3)+6^6=6^10+2×6^8+6/6^5=(6^4+2×6^2+1)×6^6/6^5=(1296+2×36+1)×6^6/6^5=(1296+72+1)×6^6/6^5(6^6÷6^5=6^1)=1369×6=8214

Explicație pas cu pas:

-(-1)=+1

(-)×(-)=+

(a+b)^2=a^2+2×a×b+b^2

(a-b)^2=a^2-2×a×b+b^2