Question

Zadanie w załączniku.

Answer 1

Zad.9
a) (-5/6)² =  (-6/5)⁻²
b) (1/10)³ = (10)⁻³
c) (-4 2/3)⁴ = (-14/3)⁴ = (-3/14)⁻⁴
d) 2,8³ = 28/10³ = 10/28⁻³
e) (-1)¹⁰ = (-1)⁻¹⁰
f) √7 = ?
g) 1/√19 = ?

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Zad.10
a) 3⁻² * 3⁻⁴ : 3⁻⁵ =
= (1/3)² * (1/3)⁴ : (1/3)⁵ =
= 1/9 * 1/81 : 1/243 =
= 1/729 * 243 =
= 1/3


b) (1/8)⁻³ : (1/4)⁻³ * 6 =
= 8³ : 4³ * 6 =
= 512 : 64 * 6 =

= 512 : 384 =
≈ 1,33

c) (-2 2/3)⁻² : (8/3)⁻² + 0,250⁰ =
= (-8/3)⁻² : (3/8)² + 1 =
= (-3/8)² : 9/4 + 1 =
= 9/64 * 4/9 + 1 =
= 1/16 + 1
= 1 1/16

d) (3/14)⁻³ * 7⁻³ + 27⁻¹ =
= (14/3)³ * (1/7)³ + (1/27)¹ =
= 2744/27 * 1/343 + 1/27 =
= 8/27 + 1/27 =
= 9/27 =
= 1/3

e) (0,2)⁻¹ - (0,8)⁻¹ * 10⁻¹ =
= (10/2)¹ - (10/8)¹ * (1/10)¹ =
= 40/8 - 10/8 * 1/10 =
= 30/8 * 1/10 =
= 3/8

f) (6 2/5)⁻⁴ : (6,4)⁻⁴ - 2⁻⁴ =
= (5/32)⁴ : (10/64)⁴ - (1/2)⁴ =
= 625/1048576 : 10000/16777216 - 1/16 =
= 625/1048576 * 16777216/10000 - 1/16 =
= 16/16 - 1/16 =
= 15/16