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(2/9)^-2 + 2^-4 * (-1/6)^-3
------------------------------------ =
2 * 6,7^0 - 0,5^2
(9/2)^2 + (1/2)^4 * (-6/1)^3
-------------------------------------- =
2 * 1 - 0,5^2
81/4 + 1/16 * (-216)
------------------------------ =
2 - 0,25
81/4 + 1/4 * (-54)
------------------------- =
1,75 (1,75 = 1i3/4 )
81/4 - 54/4
--------------- =
1 i 3/4 (1i3/4 = 7/4)
27/4
------- = 27/4 : 7/4 = 27/4 * 4/7 = 27/1 * 1/7 = 27/7 = 3i 6/7
7/4
b)
(0,1^-2 0,1 ^-1)
----------------- - ------------------) ^-1 =
( 0,1 ^-2 -1 0,1^-1 -1 )
(1/10)^-2 (1/10)^-1
------------------- - ------------------- ) ^-1
(1/10) ^-2 -1 (1/10)^-1
10^2 10^1
-------------- - --------------- ) ^-1=
10^2 - 1 10^1 - 1
100 10
------------ - ------------- ) ^-1
100 - 1 10 - 1
(100/99 - 10/9) ^-1 = ( 100/99 - 110/99)^-1 = (-10/99) ^-1 =
= (-99/10) ^1 = - 99/10 = -9i9/10
Pozdrawiam.