Question

Oblicz:

a) ( 3⅓ ) ³ × 0.3⁴ - (- ½ )³ x ( 1⅓ )²

b) (1⅓ )³ x (-3¾)² : 3 - (⅓)²

c) (- 0.3 )² : 0.1 - 0.2³ x (2½)²

d) (- 0.1 )⁴ x 20³ + ( 1½)³ : (-0.3)²

Daję naj!!

Answer 1

rozwiązanie w załączniku :)

Answer 2

a) ( 3⅓ ) ³ × 0.3⁴ - (- ½ )³ x ( 1⅓ )² =
= (10/3)³ * 0,0081 + 1/8 * 16/9 =
=1000/27 * 81/10000 + 1 * 2/9 =
= 3/10 + 11/9 =
= 27/90 + 110/90 =
= 137/90 =
≈ 1,52
-------------------------

 

b) (1⅓ )³ x (-3¾)² : 3 - (⅓)² =
= (4/3)³ * (-15/4)² : 3 - 1/9 =
= 64/27 * 225/16 : 3 - 1/9 =
= 100/3 : 3 - 1/9 =
= 100/3 * 1/3 - 1/9 =
= 100/9 - 1/9 =
= 99/9 =
= 11

 

c) (- 0.3 )² : 0.1 - 0.2³ x (2½)² =
= 0,09 : 0,1 - 0,008 * (5/2)² =
= 0,9 - 0,008 * 25/4 =
= 0,9 - 8/1000 * 25/4 =
= 0,9 - 2/40 =
= 0,9 - 1/20 =
= 9/10 - 1/20 =
= 18/20 - 1/20 =
= 17/20

d) (- 0.1 )⁴ x 20³ + ( 1½)³ : (-0.3)² =
= 0,0001 * 8000 + ( 3/2)³ : 0,09 =
= 0,8 + 27/8 : 9/100 =
= 0,8 + 27/8 * 100/9 =
= 0,8 + 75/2 =
= 8/10 + 75/2 =
= 8/10 + 375/10 =
= 383/10 =
= 38 3/10