ME AJUDEM, POR FAVOR!!!
Soluções para a tarefa
Resposta:
1)
A)
(x^5 : x^2) . (x^7 : x^4)
= x^(5-2) . x^(7-4)
= x^3 . x^3
= x^(3+3)
= x^6
________
B)
(3^2.3^5) : 3^8
= 3^(2+5) ÷ 3^8
= 3^7 ÷ 3^8
= 3^(7-8)
= 3^(-1)
---------
c)
(5.6)^2 = 30^2 = 900
d)
2^9 : 2^5 = 2^(9-5)= 2^4
_________
2)
A)
(-1/3)^2 . (-1/3)^3
= (-1/3)^(2+3)
= (-1/3)^5
___________
B)
[(3/7)^4]^3 = (3/7)^4.3 = (3/7)^12
-----------
C)
(1,9)^11 : (1,9)^6 = (1,9)^(11-6) = (1,9)^5
_________
d)
= (1/2)^7 : (1/2)^3
= (1/2)^(7-3)
= (1/2)^4
________
e)
= (-0,5)^7 . (-0,5).(0,5)^8
= (-0,5)^(7+1+8)
= (-0,5)^16
------------
F)
[(4,2)^3]^3
= (4,2)^(3.3)
= 4,2^9
__________
3)
A)
(-3/2)^2 = 9/4
_________
B)
(5/4)^2 = 25/16
___________
C)
(-1/2)^5 = -1/32
_________
D)
(-15/8)^0 = 1
__________
E)
(-1/3)^3 = - 1/27
_____
F)
(-7/13)^1 = -7/13
_________
G)
(1,7)^2 = 2,89
------------
H)
(-10)^5 = - 100000
-----------
I)
(-1)^200 = 1
-----------
J)
= (-0,4)^3
= (-0,4).(-0,4).(-0,4)
= (0,16). (-0,4)
= - 0,064
____________
K)
(2/3)^4 = 16/81
__________
4)
a)
10^(-2) = 1/10^2 = 1/100
__________
b)
(-5/8)^(-2) = (8/5)^2 = 64/25
_____________
C)
(-3/2)^(-3) = (-2/3)^3 = - 8/27
--------------
D)
(-3)^(-3) = (-1/3)^3 = - 1/27
E)
(2/3)^(-2) = (3/2)^2 = 9/4
----------------
F)
(1/2)^(-5) = 2^5 = 32
__________
5) (8^3)^2 = 8^3.2 = 8^6
A) F
----------------
B) V
10^4 / 10^5 = 10^(4-5)= 10^(-1)
_____
C) F
5^2 + 3^2 = 9+6 = 15
______
D) V
4^3. 4 . 4^2 = 4^(3+1+2) = 4^6
________
E) F
(2/3)^(-2) = (3/2)^2 = 9/4
6)
=(-1)^3 - (-1)^4 + (-2)^2 - 2^3 + (-1-1)^2
= -1 - (1) + 4 - 8 + (-2)^2
= -1-1 - 4 + 4
= - 2