Question

Use as propriedades da potênciação e calcule as expressões:
A) (3/2)^10.(3/2)^-4).(2/3)^-3=

B) 5^4:5^3+5^5:5^3=

C) ((1/2)^2)^3+(1/2)^5=

D) ((3/4)^2)^-2:(3/4)^-6=

Answer 1

Resposta:

Explicação passo-a-passo:

A) [(3/2)¹⁰.(3/2)⁻⁴] . (2/3)⁻³ =

    [3/2¹⁰⁺⁽⁻⁴⁾ ] . (2/3)⁻³ =

     3/2⁶ . 3/2³ = 3/2⁶⁺³ = 3/2⁹

B) 5⁴ : 5³ + 5⁵ : 5³ =

   5⁴⁻³ + 5⁵⁻³ = 5¹ + 5² = 5 + 25 = 30

C) (1/2)²)³ + (1/2)⁵ =

     (1/2)²ˣ³ + (1/2)⁵ = (1/2)⁶ + (1/2)⁵ = 1/64 + 1/32 = ¨¨mmc=64

                                                            1/64 + 2/64 = 3/64

D) (3/4)²)⁻² : (3/4)⁻⁶ =

    (3/4)²ˣ⁽⁻²⁾ : (3/4)⁻⁶ = (3/4)⁻⁴ : (3/4)⁻⁶ = (3/4)⁻⁴⁻⁽⁻⁶⁾= (3/4)⁻⁴⁺⁶ =

                                                   =(3/4)² = 9/16