Question

Proszę pomocy w zadaniu domowym

Answer 1

Odpowiedź:

1.

a)

1,1² = 1,21

(-1,1)² = 1,21

-1,1² = -1,21

b)

-1^16 = -1

(-1)^17 = -1

(-1)^32 = 1

2.

(1,6)² - 0,6² = 2,56 - 0,36 = 2,2

4.

(1/2)^5;  -(1/2)^5;  2^5;  (-2)^5

zatem

(-2)^5  <  -(1/2)^5  <  (1/2)^5  <  2^5

5.

a)

2^9 * (1/4)^9 : (1/2)^5 = 2^9 * (1/4)^9 : (1/2)^5 = (2 * 1/4)^9 : (1/2)^5  =

= (1/2)^9 : (1/2)^5 = (1/2)^4 = 1/16

b)

[(1/5)^8 : (2/25)^8]/2,5^6 = (1/5 * 25/2)^8/2,5^6 = (5/2)^8 : 2,5^6 =

= (5/2)^8 : 2,5^6 = (5/2)² * (5/2)^6 : (2,5)^6 = 25/4 * (5/2 : 2,5)^6 =

= 25/4 * (5/2 : 25/10)^6 = 25/4 * (10/25)^6 = 25/4 * (2/5)^6 = (5/4)² * (2/5)^6 =

= (5/4)² * (2/5)² * (2/5)^4 = (5/4 * 2/5)² * (2/5)^4 = (1/2)² * (2/5)^4 =

= (1/4 * 2/5)² * (2/5)² = (1/10)² * 4/25 = 1/100 * 4/25 = 1/25 * 1/25 = 1/625

zad.3 calkowicie nieczytelne

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