Question

PARA ENTREGAR HOJE!!!!!!
Calcule, em seu caderno, o valor das expressões.
a) (-2)² + (-2)³
b) (-3)^0 - (-3)³
c) 3^-1+ (3/2)^-1
d) 8^-1 . (2/3)²
e) 2^-1 + 2^0
f) (-2/3)² - (-2/3)^-2
g) 5^0+5^1/4^-2
h) (0,25)² - (0,5)³
i)4^2.8^3
-------------
2^10
j)9^3.27^2
--------------
81

Answer 1

a) (-2)² + (-2)³
= (1-2).(-2)²
= -1.2²
=-1.4
= -4

b) (-3)^0 - (-3)³
= 1-(-27)
= 1+27
= 28

c) 3^-1+ (3/2)^-1
= 1/3 + 2/3
= 1

d) 8^-1 . (2/3)²
= (2³)^-1 . 2²/3²
= 2^-3 . 2²/9
= 2^-1/9
=1/9.2
= 1/18

e) 2^-1 + 2^0
= 1/2 + 1
= 3/2

f) (-2/3)² - (-2/3)^-2
= 4/9 - (3/-2)²
= 4/9 - 9/4
= - 65/36

g) 5^0+5^1/4^-2
= 1+5/4^-2
= 1+5.4²
= 1+5.16
= 1+80
= 81

h) (0,25)² - (0,5)³
= (1/4)² - (1/2)³
=1/16 - 1/8
= - 1/16

i)4^2.8^3
-------------
2^10
= (2²)² . (2³)³ / 2^10
= 2^4 . 2^9 / 2^10
= 2^13/2^10
= 2³
= 8

j)9^3.27^2
--------------
81
= 3³ . (3³)² / 3^4
= 3³ . 3^6 / 3^4
= 3^9/3^4
= 3^5