ГДЗ Алгебра 8 клас Істер (2025)

Виконайте дії:

1) (4a^2)/(5b^3 ) : (8c^3)/(7c^3 ) : (14c^2)/(15b^2 ) = (4a^2 • 7c^3 • 15b^2)/(5b^3 • 8a^3 • 14c^2 ) = 3c/4ab;
2) (2a^3)/(25b^3 ) • (10b^2)/(3c^4 ) : (4a^2)/15bc = (2a^3 • 10b^2 • 15bc)/(25b^3 • 3c^4 • 4a^2 ) = (a^3 b^3 c)/(a^2 b^3 c^4 ) = a/c^3 ;
3) c^3/(18p^4 ) : ((9c^2)/(20p^3 ) :(27c^3 p)/10) = c^3/(18p^4 ) : (9c^2 • 10)/(20p^(3 )• 27c^3 p) = (c^3 • 6p^4 c)/(18p^4 • 1) = c^4/3;
4) (115a^3)/(34b^4 ) : (92a^6)/(51b^3 ) • (4b^2)/(15a^2 ) = (5 • 23a^3 • 3 • 17b^3 • 4b^2)/(2 • 17b^4 • 2 • 2 • 23a^6 • 3 •5a^2 ) = (a^3 b^5)/(2a^8 b^4 ) = b/(2a^5 ).