1. Oblicz:Zad 2.Zad. 3. Oblicz wartość liczbową wyrażenia: dla x=-1.... Question from @Xalusiax445

December 2018 1 16 Report

1. Oblicz:
$a) 121^{2}:11^{2}= 39^{3}:13^{3}=\\ 60^{4}:30^{4}=\\ 72^{3}:24^{3}=\\ b) 25^{2}*4^{2}=\\ (1,5)^{3}*(1,5)^{3}=\\ 10^{2}*(0,2)^{2}= (-01)^{3}*(-10)^{3}= c) (3/4)^{2}*(8/9)^{2}= (1/2)^{3}*(-2/3)^{3}=\\ (2,25)^{2}:(1,5)^{2}=\\ (-2 1/2)^{3}:(5/6)^{3}=$

Zad 2.

$\frac{3^{2}*(4.. 1/3)^{2}}{(1..4/9)^{2}} b) 3^{2}*(2/3)^{2}*(3/4)^{2}*(1/3)^{2} c) (5*3/4)^{3}*(-1/5):(0,75)^{3}=$

Zad. 3. Oblicz wartość liczbową wyrażenia:

$(1/3)^{3}*(3x)^{3}:x+(1/3*3)^{2}$ dla x=-1

jakwemgle Zadanie 1
121² : 11² = (121:11)² = 11² = 121
39³ : 13³ = (39:13)³ = 3³ = 27
$60^{4} : 30^{4} = (60:30)^{4} = 2^{4} = 16$
72³ : 24³ = (72:24)³ = 3³ = 27
25² * 4² = (25*4)² = 100² = 10000
(1,5)³*(1,5)³ = (1,5*1,5)³ = (2.25)³ ≈ 11.4
10² * (0,2)² = (10*0,2)² = 2² = 4
(-0.1)³ * (-10)³ = (-0.1*(-10))³ = 1³ = 1
(3/4)² *(8/9)² = (3/4 * 8/9)² = (2/3)² = 4/9
(1/2)³ * (-2/3)³ = (1/2 * (-2/3))³ = (-1/3)³ = - 1/27
(2,25)² : (1,5)² = (2,25 : 1,5)² = (1,5)² = 2.25
(-21/2)³ : (5/6)³ = (-21/2 : 5/6)³ = (-63/5)³ = - 250047/125 = -2000 47/125
Zadanie 2
a) $\frac{3^{2} * (4 \frac{1}{3})^{2} }{(1 \frac{4}{9} )^{2} } = \frac{(3 * \frac{13}{3} )^{2} }{( \frac{13}{9})^{2} } = \frac{13^{2} }{( \frac{13}{9})^{2} } = (13 * \frac{9}{13} )^{2} = 9^{2} = 81$
b) 3² * (2/3)² * (3/4)² * (1/3)² = (3 * 2/3 * 3/4 * 1/3)² = (1/2)² = 1/4
c) (5*3/4)³ * (-1/5) : (0.75)³ = (15/4)³ * (-1/5) : (3/4)³ =
3375/64 * (-1/5) : 27/64 = - 675/64 : 27/64 =
- 675/64 * 64/27 = - 675/27 = - 25
Zadanie3
(1/3)³ * (3x)³ : x + (1/3*3)² = (1/3*3x)³ : x + 1² = x³ : x + 1 = x² + 1 = (-1)² + 1 = 2

3 votes Thanks 2