oblicz:
b)
c)
d)
nie przepisuje przykładów , od razu wykonuje działania:
a)
1 + 1/4 3 5/4 3
------------------------------- + --- = ----------------- + ------ =
(3/2)²-5*(1/4) + 4 4 9/4-5/4+4 4
5/4 3 5/4 3
=------------ + ------ = ------- + -------- = 5/4 *1/5 + 3/4 = 1/4 + 3/4 = 4/4 = 1
4/4 + 4 4 5 4
2⁵ *1/8² + (-1/64)⁻² *1/2¹³ - (10/2)³ *1/125 =
= 32 * 1/64 + (-64)² * 1/8192 - 5³ * 1/125 =
= 32/64 + 4096/8192 - 125/125 =
= 1/2 + 1/2 - 1 = 2/2 - 1 = 1-1=0
3 * [5 - 2]² * [(-3/2)³ + 3 * 1/2³ ]⁻² =
= 3 * 3² * [ -27/8 + 3/8 ]⁻²=
= 3 * 9 * [ -24/8 ]⁻²=
= 27 * [-3]⁻² =
= 27 * 1/9 =
= 27/9 =
= 3
[( 1:1/4 + 3:1/9) - (1/25 -2: 1/9)] * (1 - 1/25)⁻¹
= ---------------------------------------------------------- =
(2 - 1/5 - 1/25)⁻¹
[ (1*4 + 3*9 ) - (1/25 - 2*9)] * (1 - 1/25)⁻¹
=---------------------------------------------------------- =
( 2-1/5 - 1/25)⁻¹
= [ 4+27 - (1/25 - 18)] * (24/25)⁻¹
-------------------------------------------- =
( 1 25/25 - 5/25 - 1/25)⁻¹
[ 31 - ( 1/25 - 17 25/25) ] * 25/24
=------------------------------------------------- =
(1 19/25 )⁻¹
[31 - (-17 24/25)] * 25/24
=-------------------------------------- =
( 44/25)⁻¹
48 24/25 * 24/25 1224/25 * 24/25 29376/625
=--------------------------------- = ----------------------- = ------------------- =
25/44 25/44 25/44
= 29376 / 625 * 44/25 = 1292544 / 15625 = 82 11294/15625
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nie przepisuje przykładów , od razu wykonuje działania:
a)
1 + 1/4 3 5/4 3
------------------------------- + --- = ----------------- + ------ =
(3/2)²-5*(1/4) + 4 4 9/4-5/4+4 4
5/4 3 5/4 3
=------------ + ------ = ------- + -------- = 5/4 *1/5 + 3/4 = 1/4 + 3/4 = 4/4 = 1
4/4 + 4 4 5 4
b)
2⁵ *1/8² + (-1/64)⁻² *1/2¹³ - (10/2)³ *1/125 =
= 32 * 1/64 + (-64)² * 1/8192 - 5³ * 1/125 =
= 32/64 + 4096/8192 - 125/125 =
= 1/2 + 1/2 - 1 = 2/2 - 1 = 1-1=0
c)
3 * [5 - 2]² * [(-3/2)³ + 3 * 1/2³ ]⁻² =
= 3 * 3² * [ -27/8 + 3/8 ]⁻²=
= 3 * 9 * [ -24/8 ]⁻²=
= 27 * [-3]⁻² =
= 27 * 1/9 =
= 27/9 =
= 3
d)
[( 1:1/4 + 3:1/9) - (1/25 -2: 1/9)] * (1 - 1/25)⁻¹
= ---------------------------------------------------------- =
(2 - 1/5 - 1/25)⁻¹
[ (1*4 + 3*9 ) - (1/25 - 2*9)] * (1 - 1/25)⁻¹
=---------------------------------------------------------- =
( 2-1/5 - 1/25)⁻¹
= [ 4+27 - (1/25 - 18)] * (24/25)⁻¹
-------------------------------------------- =
( 1 25/25 - 5/25 - 1/25)⁻¹
[ 31 - ( 1/25 - 17 25/25) ] * 25/24
=------------------------------------------------- =
(1 19/25 )⁻¹
[31 - (-17 24/25)] * 25/24
=-------------------------------------- =
( 44/25)⁻¹
48 24/25 * 24/25 1224/25 * 24/25 29376/625
=--------------------------------- = ----------------------- = ------------------- =
25/44 25/44 25/44
= 29376 / 625 * 44/25 = 1292544 / 15625 = 82 11294/15625