I gimnazjum

Matematyka na czasie! 1

(22)3=22⋅3=26

a) 38:373⋅32​=38−731⋅32​=3131+2​=3133​=33:31=33−1=32=9

x4(x17⋅x3):x12​=x4(x17+3):x12​=x4x20:x12​=

Przekształcamy liczby do postaci potęg liczby 2 164=(24)4=24⋅4=216

a) (141​−32​)2=(1123​−128​)2=(1215​−128​)2=(127​)2=14449​

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a) 81=34 Liczbę 3. b) 256=44

a) I przypadek 40zł+45zł+50zł+55zł+60zł+65zł+70zł+75zł+80zł+85zł+90zł+95zł=810zł II przypadek 0,5zł+2⋅0,5zł+2⋅2⋅0,5zł+2⋅2⋅2⋅0,5zł+24⋅0,5zł+25⋅0,5zł+26⋅0,5zł+

a) Zobaczmy, jak zmieniają się cyfry jedności kolejnych potęg liczby 2 21=2 22=4 23=8 24=16 25=32

a) 5x:53=58 5x−3=58 x−3=8 x=8+3 x=11 b) 47⋅4x=418 47+x=418 7+x=18 x=18−7 x=11 c) 814:8x=813

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