Question

Calcule o valor das expressões abaixo.

a) (4⁰ : 4⁻¹) : (4⁻¹ : 4⁻²)


b) (-2⁴ + 0⁴ + 4⁰) : [(-2 )⁴ + (1/2)⁻²]

Answer 1

a) (4⁰ : 4⁻¹) : (4⁻¹ : 4⁻²)


(1 / 1/4)/(1/4 / 1/4²)
(1.4)/(1/4 . 16
4 / 16/4
4/4
1


b) (-2⁴ + 0⁴ + 4⁰) : [(-2 )⁴ + (1/2)⁻²]

(-16 + 0 + 1)/[(16 + 1/(1/2)²]
-15 / [(16 + 1/(1/4)]
-15 / [(16 + 1.4)]
-15/20
-3/4



Abraços õ/

Answer 2

a)
(4°/4^-1) / (4^-1/4^-2)=                  potencia (-) vira fração
  1      1/4
---- / ------- =
1/4    1/16

1      4      1    16
--- x ---  / --- x --- =
         1     4      1
4     16
--- / ---- =
1      4
4      4
--- x --- =
1      16
16/16 = 1

b)
(-2^4 +0^4+4°) / [(-2)^4 + (1/2)^-2]=
(-16+0+1) / [16 + 1/(1/4)]=
-15/[16+1x4/1]=
-15/[16+4]=
-15/20=                 simplificado por 5
-3/4