Resposta:
6.
a) 3⁵ = 3.3.3.3.3 = 243 c) (-2)⁵ = (-2).(-2).(-2).(-2).(2-) = -32
b) -2⁵ = -2.2.2.2.2 = -32 = d) (-2)⁴ = (-2).(-2).(-2).(-2) = 16
e) 3⁻⁵ = (1)⁵ = 1 = 0,004 f) (+2/3)¹ = (2¹) = 2/3
(3) 243 (3¹)
g) (-√5)⁰ = -1 h) 5⁰ = 1
7.
a) 10³ = 10.10.10. 1000 d) 3.10⁻⁶ = 3.(1)⁶ = 3.1 = 0,000001
b) 4.10⁵ = 4.10.10.10.10.10 = 400000 (10) 1000000
c) 10⁻² = (1)² = 1 = 0,01 e) (-10)⁻³ = (1)³ = 1 = -0,001
(10) 100 (-10) -1000
f) (-10)⁰ = 1
8.
a) 1.10⁻³ d) 6.10⁴
b) 1.10⁴ e) 7.10⁻⁵
c) 5.10⁻³ f) 8.10¹
9.
a) 11⁸ . 11⁻⁷ = 11⁸⁻⁷ = 11 c) 3⁶ : 3⁷ = 3⁶⁻⁷ = 3⁻¹
b) 10⁻⁶ . 10 . 10⁴ = 10⁻⁶⁺¹⁺⁴ = 10⁻¹ d) 5⁹ : 5⁻³ = 5⁹⁺³ = 5¹²
e) x⁵ = x⁵ = x⁵ = x/x = x
x⁻³ (1)³ 1³
(x) x³
10.
a) 3/10
b) 45/100
c) 15/10
d) 125/10
11.
a) 10/3
b) 5/9
c) 6/11
d) 4/9