Răspuns :
a) (5(^1)×5^12) : (5^2)^3
5^13 : 5^6
5^7 (scazi exponentii)
b) (7×7^19) : (7^3)^4
7^20 : 7^12 (se inmultesc 3 si 4)
7^8
c) (2^7)^3 : (2×2^10
2^21 : 2^11
2^10
d) (6^5)^6 : (6×6^18)
6^30 : 6^19
6^11
Răspuns:
a) [tex](5*5^{12}):(5^{2})^{3}=5^{13}:5^{6}=5^{7}[/tex]
b) [tex](7*7^{19}):(7^{3})^{4}=7^{20}:7^{12}=7^{8}[/tex]
c) [tex](2^{7})^{3}:(2*2^{10})=2^{21}:2^{11}=2^{10}[/tex]
d) [tex](6^{5})^{6}:(6*6^{18})=6^{30}:6^{19}=6^{11}[/tex]
Explicație pas cu pas:
Regulile de calcul cu puteri folosite:
[tex]a^{b}*a^{c}=a^{b+c}[/tex]
[tex]a^{b}:a^{c}=a^{b-c}[/tex]
[tex]a=a^{1}[/tex]
[tex](a^{b})^{c}[/tex]=[tex]a^{b*c}[/tex]
Sper ca te-am putut ajuta! Spune-mi daca gasesti o greseala ca sa o pot corecta! Succes in continuare!