Пошаговое объяснение:
(15^(2/3)*3^(7/3))/5^(-1/3)=
(3^(2/3)*5^(2/3)*3^(7/3))/5^(-1/3)=
3^(9/3)*5^(1/3)=27*5^(1/3)
2)(4/5)^(-2)-(1/27)^(1/3)+4=25/16-1/3+4=59/48+4=251/48
3)(128^(1/3)+(1/4)^(1/3))/2^(1/3)=
((4*(2^(1/3))+(1/4)^(1/3))/2^(1/3)=4+(1/8)^(1/3)=4+1/2=9/2
4)((ab^2)/c)^(1/3)*((a^5b)/c^2)^(1/3)=((a^6b^3)/c^3)^(1/3)=(a^2b)/c
5)(a^(-3)*a^(7/3))/a^(1/3)=1/a
Пошаговое объяснение:
(15^(2/3)*3^(7/3))/5^(-1/3)=
(3^(2/3)*5^(2/3)*3^(7/3))/5^(-1/3)=
3^(9/3)*5^(1/3)=27*5^(1/3)
2)(4/5)^(-2)-(1/27)^(1/3)+4=25/16-1/3+4=59/48+4=251/48
3)(128^(1/3)+(1/4)^(1/3))/2^(1/3)=
((4*(2^(1/3))+(1/4)^(1/3))/2^(1/3)=4+(1/8)^(1/3)=4+1/2=9/2
4)((ab^2)/c)^(1/3)*((a^5b)/c^2)^(1/3)=((a^6b^3)/c^3)^(1/3)=(a^2b)/c
5)(a^(-3)*a^(7/3))/a^(1/3)=1/a