Вычислите 1) (49^2/3)^3/4 2) (625^-3/8)^2/3 3) (64^1/4)^-2/3

Question

Вычислите
1) (49^2/3)^3/4
2) (625^-3/8)^2/3
3) (64^1/4)^-2/3

Answer 1

1) (49^2/3)^3/4=49^(2/3*3/4)=49^½=✓49=7

2) (625^-3/8)^2/3=625^(-⅜*⅔)=625^-¼=1 / 625^¼= 1 / ⁴√625=1/5=0,2

3) (64^1/4)^-2/3=64^(¼*(-⅔))=64^-1/6= 1 / корень 6 стпени√64=½=0,5