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14.)Determinati valoarea de adevăr a propozițiilor:
– 8,5-8,5 = 8,5
b [(63,2)"}* = 62,35;
• 44,9:44,9" - 44,92;
d 96,48 : 96,44 = 96,42;
6,7 -6,76,7' = 6,7;
f (32,7)': (32,7)' = 1069,29;
(3958,4739)° = 1;
h 5,437: 5,436 : 5,43 = 1;
183,7151 = 83,715;
j 6,712 : 6,75 : 6,7° = 6,7.
15.)Calculati:
a 2,8:
2,810;
b 4,5%. 4,5° : 4,58;
d (28,405°));
e 33,7.33,76 : 33,75;​


Răspuns :

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Salut! ヽ(✿゚▽゚)ノ

Reguli de calcul cu puteri:

[tex](a^{n})^{p} = a^{n * p}[/tex]

[tex]a^{n} * a^{p} = a^{n + p}[/tex]

[tex]a^{n} : a^{p} = a^{n-p}[/tex]

[tex]a^{n} * b^{n} = (a*b)^{n}[/tex]

[tex]a^{n} * b^{n} = (a:b)^{n}[/tex]

Cazuri particulare: [tex]n^{1} = n[/tex]

                               [tex]n^{0} = 1[/tex]

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Răspuns:

a) F  deoarece [tex]8,5^{1} x 8,5^{1} = 8,5^{2}[/tex]

b) F  deoarece [tex][(63,2)^{3}]^{2} = 63,2^{3*2} = 63,2^{6}[/tex]

c)A   deoarece [tex]44,9^{7} : 44,9^{5} = 44,9^{7-5} = 44,9^{2}[/tex]

d) F   deoarece [tex]96,4^{8} : 96,4^{4} = 96,4^{8-4} = 96,4^{4}[/tex]

e) A   deoarece [tex]6,7^{1} * 6,7^{2} * 6,7^{3} = 6,7^{1+2+3} = 6,7^{6}[/tex]

f) A    deoarece [tex](32,7)^{9} : 32,7^{7} = 32,7^{9-7} = 32^{2} = 1069, 29[/tex]                                   g) A   deoarece  [tex](3 958,473^{8})^{0} = 1[/tex]  

h) A   deoarece   [tex]5,43^{7} : 5,43^{6} : 5,43^{1} = 5,43^{7-6-1} = 5,43^{0} = 1 ( cazuriparticulare)[/tex]

i) A    deoarece   [tex]83,715^{1} = 83,715 ( cazuri particulare)[/tex]

j) A    deoarece    [tex]6,7^{12} : 6,7^{5} : 6,7^{6} = 6,7^{12-5-6} = 6,7^{1} = 6,7[/tex]

Spor! (。^^)

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