Question

Zad.1

Oblicz:

a)3⁻¹ 5⁻² 2⁻³

b)(7/11)⁻¹ (⅓)⁻² (¾)⁻²

c)(2,5)⁻¹ (0,4)⁻² (1,25)⁻¹

d)(-10)⁻⁵ (-4)⁻² (-2)⁻³

e)(-⅔)⁻² (-⅕)⁻³ (-3⅓)⁻⁴

f)(-1,2)⁻¹ (-0,1)⁻⁵ (-0,02)⁻⁴

Zad.2

zastąp symbole odpowiednimi liczbami:

a)(¾)⁻⁷=♣⁷

b)(7/3)⁻⁹=♥⁹

c)(0,7)⁻⁸=♦⁸

d)(1/0,1)⁻³=♣³

Zad.3

Zapisz podane liczby w postaci potęg o wykładniku ujemnym:

(⅓)⁴ (⅜)³ 6⁵ (2¼)⁷

Answer 1

Zad.1

Oblicz:

a)3⁻¹ =1/3

5⁻² =(1/5)²=1/25

2⁻³=1/2³=1/8

b)(7/11)⁻¹ =11/7²=121/49

(⅓)⁻² =3²=9

(¾)⁻²=4/3²=16/9

c)(2,5)⁻¹ =(25/10)⁻¹=10/25=2/5

(0,4)⁻²  =(4/10)⁻²=10/4²=100/16=25/4

(1,25)⁻¹=(125/100)⁻¹=(5/4)⁻¹=4/5

d)(-10)⁻⁵=(-1/10)⁵=-1/100000

(-4)⁻²  =(-1/4)²=1/16

(-2)⁻³=(-1/2)³=-1/8

e)(-⅔)⁻²  =(-3/2)²=9/4

(-⅕)⁻³  =  (-5)³=-125

(-3⅓)⁻⁴=(-10/3)⁻⁴=(-3/10)⁴=81/10000

f)(-1,2)⁻¹=(-12/10)⁻¹=(-10/12)

(-0,1)⁻⁵=(-1/10)⁻⁵=(-10)⁵=-100000

(-0,02)⁻⁴=(-2/100)⁻⁴=(-100/2)⁴=(-50)⁴=6250000

 

 

Zad.2

zastąp symbole odpowiednimi liczbami:

a)(¾)⁻⁷=(4/3)⁷

b)(7/3)⁻⁹=(3/7)⁹

c)(0,7)⁻⁸=(10/7)⁸

d)(1/0,1)⁻³=(0,1)³

 

Zad.3

Zapisz podane liczby w postaci potęg o wykładniku ujemnym:

(⅓)⁴  =3⁻⁴

(⅜)³   =(8/3)⁻³

6⁵ =(1/6)⁻⁵

(2¼)⁷=(9/4)⁷=(4/9)⁻⁵