Question

Oblicz:

a) 2⁻potęga 5

b) (-12)⁻potęga 2

c) (⅓)⁻potęga 3

d) (-4/5)⁻potęga 3

e) (1½)⁻potęga 5

f) (1 1/5)⁻potęga 3

g) (2½)⁻potęga 4

h) (-3 3/7)⁻potęga 2

i) 0,1⁻potęga 6

j) 0,01⁻potęga 3

k)1,5⁻potęga 2

l) (-1,2)⁻potęga 3

/---->ułamek

Answer 1

a) 2⁻potęga 5
= 1/2⁵
= 1/32
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b) (-12)⁻potęga 2 = 
= (-1/12)² = 
= 1/144
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c) (⅓)⁻potęga 3 = 
= (3)³ = 
= 27
========================
d) (-4/5)⁻potęga 3 = 
= (-5/4)³ =

= -125/64

========================
e) (1½)⁻potęga 5 = 
= (3/2)⁻⁵ = 
= (2/3)⁵ = 
= 32/243
========================
f) (1 1/5)⁻potęga 3 = 
= (6/5)⁻³ = 
= (5/6)³
= 125/216
========================
g) (2½)⁻potęga 4 = 
= (5/2)⁻⁴ = 
= (2/5)⁴ =

= 16/625
========================
h) (-3 3/7)⁻potęga 2 = 
= (-24/7)⁻² =

= (-7/24)² = 
= 49/576

========================
i) 0,1⁻potęga 6 = 
= 1/10⁻⁶ =

= 10⁶ = 
= 1 000 000
========================
j) 0,01⁻potęga 3 = 
= 1/100⁻³ = 
= 100³ = 
= 1 000 000
========================
k)1,5⁻potęga 2 = 
= 15/10⁻² = 
= 10/15² = 
= 100/225
========================
l) (-1,2)⁻potęga 3 = 
= (-12/10)⁻³ =

= (-10/12)³ =
= -1000/1728