Autorzy:Alina Przychoda, Zygmunt Łaszczyk
Wydawnictwo:WSiP
Rok wydania:2015
Oblicz: a) 8^2/3, (9/16)^3/2, (1/27)^2/34.67 gwiazdek na podstawie 6 opinii

Oblicz: a) 8^2/3, (9/16)^3/2, (1/27)^2/3

2Zadanie
3Zadanie
4Zadanie

a)

`8^(2/3)= 8^(1/3*2)=(root(3)8)^2=2^2=4`

`(9/16)^(3/2)=(9/16)^(3*1/2)=(sqrt(9/16))^3=(3/4)^3=27/64`

`(1/27)^(2/3)=(1/27)^(2*1/3)=(root(3)(1/27))^2=(1/3)^2=1/9`

b)

`9^(3/2)=9^(3*1/2)=(sqrt9)^2=3^3=27`

`(27^(4/3))=(27^(4*1/3))=(root(3)27)^4=3^4=81`

`16^(3/4)=16^(3*1/4)=(root(4)(16))^3=2^3=8`

c)

`(0,25)^(3/2)=(sqrt(1/4))^3=(1/2)^3=1/8`

`(0,216)^(2/3)=(root(3)(0,216))^2=(0,6)^2=0,36`

`(0,00032)^(3/5)=(root(5)(0,00032))^3=(0,2)^3=0,008`