Question

Oblicz :
a) (¼)⁻¹ - ( - 5/9 )°+(½)⁻³:2⁻² =
b) (- 2/3)⁻¹ - (-4/5)⁻² (-2/5)³ - (-2½)⁻² =
c) 2⅓ - √1 13/36 - (√13)² : (2/3)⁻² =

Answer 1

A) (¼)⁻¹ - ( - 5/9 )°+(½)⁻³:2⁻² =
4¹-1+2³:2⁻²=
4-1+2⁵=3+32=35


b) (- 2/3)⁻¹ - (-4/5)⁻² (-2/5)³ - (-2½)⁻² =
-3/2-(-5/4)²(-2/5)³-(2/5)²=
-3/2-25/16*(-8/125)-4/25=
-3/2+1/10-4/25=
-75/50+5/50-8/50=
=-78/50=-1i28/50=
-1i14/25


c) 2⅓ - √1 13/36 - (√13)² : (2/3)⁻² =
2⅓-7/6-13:(3/2)²=
2²₆-7/6-13:9/4=
7/6-13*4/9=
7/6-52/9=
7/6-5i7/9=
21/18-5i14/18=
-4i11/18