Question

oblicz:

a) 2⁻²+3⁻¹

b)3⁻¹+3⁻²+3⁻³

c) (½)⁻¹+(½)⁻²+(½)⁻³

d)3⁻³·(⅓)⁻²+4⁻³:(½)³

e)5²+(-⅓)⁻⁴-2⁵+(0,1)⁻²

Answer 1

a)
2⁻²+3⁻¹ = 
= 1/2² + 1/3 = 
= 1/4 + 1/3 =

= 3/12 + 4/12 = 
= 7/12
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b)

3⁻¹+3⁻²+3⁻³ = 
= 1/3 + 1/3² + 1/3³ = 
= 1/3 + 1/9 + 1/27 = 
= 9/27 + 3/27 + 1/27 = 
= 12/27 + 1/27 = 
= 13/27
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c)
(½)⁻¹+(½)⁻²+(½)⁻³ = 
= 2 + (2)² + (2)³ = 
= 2 + 4 + 8 = 
= 14
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d)
3⁻³·(⅓)⁻²+4⁻³:(½)³ = 
= 1/3³ * (3)² + 1/4³ : 1/8 = 
= 1/27 * 9 + 1/64 * 8 =

= 1/3 + 1/8 = 
= 8/24 + 3/24 = 
= 11/24
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e)
5²+(-⅓)⁻⁴-2⁵+(0,1)⁻² = 
= 25 + (-3)⁴ -32 + (10)² = 
= 25 + 81 - 32 + 100 = 
= 106 - 32 + 100 = 
= 74 + 100 = 
= 174