Question

va rog mult rapid am nevoie de 1 , 2 , 3​

Answer 1

Răspuns:

Salutare!

Exercitiul 1:

a) $1^{2}+2^{2}+3^{3}+4^{2} +5^{2}+6^{2} +7^{2}=1+4+9+16+25+36+49=140$

b) $1^{3}+2^{3}+3^{3}+4^{3}=1+8+27+64=100$

Exercitiul 2:

a)$3^{2} X 5+3^{2} X 7= 5 X 3^{2}+7 X 3^{2} = 12 X 3^{2}= 12X9=108$

b) $2025^{2019}- 2024 X 2025^{2018} = (2025-2024) X 2025^{2018}= 1 X 2025^{2018}= 2025^{2018}$

c) $(7^{10} - 7^{29}) : (7^{9}-7^{8})= (7-1) X 7^{9}: (7^{9} -7^{8})=6X 7^{9} : [(7-1)X 7^{8}]=6X 7^{9} : (6X 7^{8})= 7$

d) $5^{2} X 2^{6} -5^{3} X 7^{2} = (2^{6}- 7^{2} )X 5^{3}= (64-49) X 125= 15X125=1875$

Exercitiul 3:

[tex]3^{37} -27^{12} =2 X 81^{10} : x^{2} \\ 3^{37} - 3^{36} = \frac{2X 81^{10} }{x^{2} } \\ (3-1) X 3^{36} =\frac{2 X 81^{10}}{x^{2}} \\ 2X 3^{36}= \frac{2 X 81^{10}}{x^{2}} \\ 2X 3^{36} x^{2} = 2X 81^{10}\\ x^{2} = \frac{81^{10} }{3^{36} } \\ x^{2} =\frac{3^{40} }{3^{36} } \\ x^{2} =3^{4} \\ x^{2} =81\\ x= +- 9\\ x_{1} = -9\\ x_{2}= 9 [/tex]

Explicație pas cu pas:

X- inseamna ori/ inmultit

:- impartit