Question

1.oblicz.

a)81^1/2 ( jedna druga)

b) 27^1/3 ( jedna trzecia)

c)81^1/4 ( jedna czwarta)

d)64^1/6 ( jedna szosta)

e)256^1/4(jedna czwarta)

f)1024^1/10 ( jedna dziesiata)

2. oblicz

a)8^4/3(cztery trzecie)

b)32^3/5

c)81^1.5

d)4^-3/2

e)125^-2/3

f)(1/81)^-3/4

g)(1/4)^-2,5

h)(8/27)-2/3

plissss ! daje naaaj :)

Answer 1

a)81^1/2  = √81 = 9

b) 27^1/3 =∛27 = 3

c)81^1/4  = ⁴√81 = 3

d)64^1/6  = ⁶√64 = 2

e)256^1/4 = ⁴√256 = 4

f)1024^1/10  = ¹⁰√1024 = 2

2. oblicz

a)8^4/3 = ∛8⁴ =∛ 4096 = 16

b)32^3/5 = ⁵√32³ = 8

c)81^1.5 = 81^ 3/2 = √81³ = 729

d)4^-3/2 = (1/4)^3/2 = √(1/4)³ = 1/8

e)125^-2/3 = 1/125 ^ 2/3 = ∛(1/125)² = (1/5)² = 1/25

f)(1/81)^-3/4 = 81^ 3/4 = ⁴√81³ = 3³=27

g)(1/4)^-2,5 = 1/4 ^ -5/2 = 4^ 5/2 = √4⁵ = 2⁵ = 32

h)(8/27)^-2/3 = (27/8) ^ 2/3 = ∛(27/8)² = (3/2)² = 9/4 = 2  1/4