Question

Calcule :
a= (1/2)^-1
b= (1/2)^-2
c= (-1/3)^-2
d= (-1/4)^-1
e= (2/3)^-1
f= (-2/5)^-2
g= (-5/3)^-3
h= - (-1/6)^-1
i= -(-1/3)^-2
j= -(-3/2)^-3

Answer 1

Calcule :

FRAÇÃO com expoente NEGATIVO:
inverte a FRAÇÃO e MUDA o sinal do expoente


a= (1/2)^-1

(1/2)⁻¹  = (2/1)⁺¹  = (2/1)¹ = 2/1 = 2
 
b= (1/2)^-2

(1/2)⁻²  = (2/1)⁺²  = (2/1)² = (2)² = 2x2 = 4


c= (-1/3)^-2

(- 1/3)⁻² = (-3/1)⁺² = (-3/1)² = (-3)² = + 3x3 = + 9 




d= (-1/4)^-1

(-1/4)⁻¹ = (- 4/1)⁺¹  = (-4/1)¹ = (-4) = - 4



e= (2/3)^-1

(2/3)⁻¹ = (3/2)⁺¹  = (3/2)¹ = 3/2 




f= (-2/5)^-2


(-2/5)⁻² = (-5/2)⁺² = (-5/2)² = + 5²/2² = +5x5/2x2 = + 25/4



g= (-5/3)^-3

(-5/3)⁻³ = (-  3/5)⁺³ = (- 3/5)³ = - 3³/5³ = - 3x3x3/5x5x5 =  - 27/125



h= - (-1/6)^-1

- (-1/6)⁻¹  = - (-6/1)⁺¹ = - (-6/1)¹ =  - (- 6)  =  +   6

i= -(-1/3)^-2

- (-1/3)⁻² = - (- 3/1)⁺² = -(- 3/1)² = - (-3)² = - (+3x3) = - (+9) = - 9

j= -(-3/2)^-3

-(-3/2)⁻³  = - (-2/3)⁺³  = - (-2/3)³ = - ( - 2³/3³) = -(- 2x2x2/3x3x3) = - (-8/27)
                                                                                                   = + 8/27