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<strong>Matemática</strong> R:<br />
<strong>Matemática</strong> básica<br />
GABARITO DOS EXERCÍCIOS PROPOSTOS<br />
Capítulo 01<br />
01. a. 8<br />
b. 243<br />
c. 0<br />
d. 1<br />
e. 16<br />
f. 16<br />
g. – 16<br />
h. – 1<br />
i. – 6<br />
j. 1<br />
02. C<br />
03. B<br />
04. B<br />
05. B<br />
06. B<br />
07. D<br />
08. E<br />
09.<br />
a.<br />
b.<br />
10. D<br />
11. D<br />
3<br />
121 = 11<br />
8 = 2<br />
4<br />
c. 625 = 5<br />
3<br />
d. − 27 = − 3<br />
1<br />
e. 0 = 0<br />
f. 2, 25 = 1,<br />
5<br />
g. 0, 04 = 0,<br />
2<br />
3<br />
h. 0, 008 = 0,<br />
2<br />
12. 3 2 > 2 > 2 3<br />
13. a.<br />
b.<br />
14. D<br />
15. E<br />
12<br />
12<br />
432<br />
2<br />
16. D<br />
17. a. 2 21<br />
b. 7<br />
18. C<br />
19. a. 0,44 m 2<br />
b. 22,4 kg<br />
20. C<br />
21.<br />
a.<br />
b.<br />
c.<br />
22. A<br />
23. A<br />
24. D<br />
3<br />
3<br />
2 5<br />
56<br />
8<br />
3<br />
d. 25<br />
e. 3 + 2 2<br />
25. E<br />
26. A<br />
27. a.<br />
1<br />
I.<br />
2 +1 = 2 - 1<br />
II.<br />
III.<br />
Capítulo 02<br />
41.<br />
a. (2x + 3y) 2 = 4x 2 + 12xy + 9y 2<br />
b. (5x – 2y) 2 = 25x 2 – 20xy + 4y 2<br />
c. (3a 2 – b) 2 = 9a 4 – 6a 2 b + b 2<br />
42.<br />
a. (x – 2y) · (x + 2y) = x 2 - 4y 2<br />
b. (a 3 – 2b) · (a 3 + 2b) = a 6 - 4b 2<br />
c. (2xy + z 2 ) · (2xy – z 2 ) = 4x 2 y 2 - z 4<br />
43.<br />
a. (x + 2y) 3 = x 3 + 6x 2 y + 12xy 2 + 8y 3<br />
b. (2x – y) 3 = 8x 3 – 12x 2 y + 6xy 2 – y 3<br />
c. (2x – 2y) 3 = 8x 3 – 24x 2 y + 24xy 2 – 8y 3<br />
44.<br />
4<br />
2 1 x − 1<br />
a. x − =<br />
2 2<br />
x x<br />
2 2 4 4<br />
b. x y x − y<br />
− =<br />
2 2 2 2<br />
y x x y<br />
28. E<br />
29. B<br />
30. C<br />
31. B<br />
32. B<br />
33. E<br />
34. E<br />
1<br />
3 + 2 = 3 - 2<br />
1<br />
n+1 + n = n + 1 - n<br />
b. S = 10<br />
35. E<br />
36. A<br />
37. D<br />
38. B<br />
39. B<br />
40. A<br />
PV-13-14<br />
102