Question

Zadania w załączniku

Answer 1

zad 1

a) 3⁻¹=1/3

b) (-5)⁻²=(-1/5)²=1/25

c) (-4)⁻³=(-1/4)³=-1/64

d) 2⁻⁴=(1/2)⁴=1/16

e) (2/5)⁻³=(5/2)³=125/8

f) (11/3)⁻²=(3/11)²=9/121

g) (3/2)⁻¹=2/3

h) (-7/3)⁻²=(3/7)²=9/49

i) (1/5)⁻³=5³=125

j) (3/2)⁻³=(2/3)³=8/27

k) (17/5)⁻¹=5/17

l) (6/5)⁻²=(5/6)²=25/36

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zad 2

a) 6⁻³=(1/6)³

b) (-11)⁻²=(-11)²=11²

c) (1/5)⁻²=5²

d) (-3/4)⁻³=(-4/3)³

e) (7/3)⁻²=(3/7)²

f) (3/2)⁻²=(2/3)²

g) (11/7)⁻³=(7/11)³

h) (9/4)⁻²=(4/9)²

i) (7/4)⁻³=(4/7)³

j) (-17/8)⁻²=(-8/17)²=(8/17)²

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zad 3

a) 7=(1/7)⁻¹

b) 25=5²=(1/5)⁻²

c) 1/6=6⁻¹

d) 1/81=(1/3)⁴=3⁻⁴

e) 3/2=(2/3)⁻¹

f) 25/4=(5/2)²=(2/5)⁻²

g) 2/7=(7/2)⁻¹

h) 125/27=(5/3)³=(3/5)⁻³

i) 9/10=(10/9)⁻¹

j) 256/100=(16/10)²=(10/16)⁻²=(5/8)⁻²²

Answer 2

Zad.1
a) = 1/3 ¹ = 1/3
b) = ( - 1/5 )² = 1/25
c) = ( - 1/4 )³ = - 1/64
d) = ( 1/2 )⁴= 1/16
e) = ( 5/2 )³ = 125/8 = 15 5/8
f) = ( 11/3 )⁻² = ( 3/11 )² = 9/121
g) = ( 3/2 )⁻¹ = ( 2/3 )¹ = 2/3
h) = ( - 7/3 )⁻² = ( - 3/7 )² = 9/49
i) = ( 2/10 )⁻³ = ( 10/2 )³ = 1000/8 = 125
j) = ( 1 1/2 )⁻³ = ( 3/2 )⁻³ = ( 2/3 )³ = 8/27
k) = ( 3 4/10 )⁻¹ = ( 34/10 )⁻¹ = ( 10/34 )¹ = 10/34 = 5/17
l) = ( - 1 2/10 )⁻² = ( - 12/10 )⁻² = ( - 10/12 )² = 100/144 = 25/36

Zad.2
a) = ( 1/6 )³
b) = ( - 1/11 )²
c) = 5²
d) = ( - 4/3 )³ = (- 1 1/3)³
e) = (7/3)⁻² = (3/7)²
f) = ( 1 1/2 )⁻² = (3/2)⁻² = (2/3)²
g) = (-11/7)⁻³ = ( - 7/11 )³
h) = ( 2 1/4 )⁻² = ( 9/4 )⁻² = ( 4/9 )²
i) = ( 1 3/4 )⁻³ = ( 7/4 )⁻³ = ( 4/7 )³
j) = ( -2 2/16 )⁻² = (- 34/16 )⁻² = ( - 16/34 )²

Zad.3
a) = 7¹ = ( 1/7 )⁻¹
b) = 5² = ( 1/5 )⁻²
c) = ( 1/6 )¹ = 6⁻¹
d) = ( 1/9 )² = 9⁻²
e) = ( 3/2 )¹ = ( 2/3 )⁻¹
f) = 25/4 = ( 5/2 )² = (2/5)⁻²
g) = (2/7)¹ = (7/2)⁻¹
h) = 125/27 = (5/3)³ = (3/5)⁻³
i) = (9/10)¹ = (10/9)⁻¹
j) = 256/100 = (16/10)² = (10/16)⁻²