Question

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;​

Answer 1

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Salut! ヽ(✿ﾟ▽ﾟ)ノ

Reguli de calcul cu puteri:

$(a^{n})^{p} = a^{n * p}$

$a^{n} * a^{p} = a^{n + p}$

$a^{n} : a^{p} = a^{n-p}$

$a^{n} * b^{n} = (a*b)^{n}$

$a^{n} * b^{n} = (a:b)^{n}$

Cazuri particulare: $n^{1} = n$

                               $n^{0} = 1$

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Răspuns:

a) F  deoarece $8,5^{1} x 8,5^{1} = 8,5^{2}$

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

c)A   deoarece $44,9^{7} : 44,9^{5} = 44,9^{7-5} = 44,9^{2}$

d) F   deoarece $96,4^{8} : 96,4^{4} = 96,4^{8-4} = 96,4^{4}$

e) A   deoarece $6,7^{1} * 6,7^{2} * 6,7^{3} = 6,7^{1+2+3} = 6,7^{6}$

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

h) A   deoarece   $5,43^{7} : 5,43^{6} : 5,43^{1} = 5,43^{7-6-1} = 5,43^{0} = 1 ( cazuriparticulare)$

i) A    deoarece   $83,715^{1} = 83,715 ( cazuri particulare)$

j) A    deoarece    $6,7^{12} : 6,7^{5} : 6,7^{6} = 6,7^{12-5-6} = 6,7^{1} = 6,7$

Spor! （。＾▽＾）

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