III gimnazjum

Matematyka wokół nas 3

Odwrotnosˊcią liczby [(−31​)−1]3 jest liczba: Odwrotnosˊcią liczby [(−31​)−1]3 jest liczba: [(−31​)−1]−3=(−31​)3=−271​   <section class="answer"><h4 class="answer-heading">Odpowiedź:</h4> Prawdziwa jest odpowiedź D.</section>

Rozwiązanie 1

ab​=4−2⋅44⋅(41​)38−4:8−3​

(x−1⋅x2⋅x−3)−3:(x−5⋅x4)2

(132−52<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.28em' viewBox='0 0 400000 1296' preserveAspectRatio='xMinYMin slice'><path d='M263,681c0.7,0,18,39.7,52,119
c34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120
c340,-704.7,510.7,-1060.3,512,-1067
l0 -0
c4.7,-7.3,11,-11,19,-11
H40000v40H1012.3
s-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232
c-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1
s-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26
c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z
M1001 80h400000v40h-400000z'/></svg>​)−1

−224x−2−4y−2​=

32001+32002+32003

(52​)x=6,25 (25​)−x=6,25

(0,2)−1=(51​)−1=5

−(2−2)−3=−(2(−2)⋅(−3)=−(26)=−64

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