Question

4) Calcule as potências:

) (3/7)⁻² =
b) (2/5)⁻¹ =
c) (1/3)⁻³ =
d) (-5/4)⁻³ =
e) (-1/3)⁻² =
f) (-2/5)⁻³ =
4) Resolva as potências:

a) ( -4 )-2 =

b) ( + 3) 3 =

c) ( - 2/7) 2 =

d) ( + ¾ )-4 =

e) ( + 1/5) 5=

f) ( - 12/13) 1 =
g) ( + 5/9) -2 =

h) ( + 2/7) 4 =

i) ( - 2/3) 5 =

j) ( - 3/5) -3=


×SCRR×

Answer 1

FRAÇÃO com expoente NEGATIVO

INVERTE a fração e MUDA o SINAL do expoente

a/ (3/7)^-2=

(3/7)⁻² = (7/3)² = 7²/3² = 7x7/3x3 = 49/9

b/ (2/5)^-1=

(2/5)⁻¹ = (5/2)¹ = 5/2

c/ (1/3)^-3=

(1/3)⁻³ = (3/1)⁺³ = (3/1)³ = 3³ = 3x3x3 = 27

d/(-5/4)^-3= (-4/5)⁺³ = (-4/5)³ = - 4³/5³ = - 4x4x4/5x5x5 = - 64/125

e/(-1/3)^-2= (-3/1)⁺² = (-3/1)² = (-3)² = + 3x3 = + 9

f/(-2/5)^-3= (-5/2)⁺³ = (-5/2)³ = - 5³/2³ = - 5x5x5/2x2x2 = 125/8

Espero ter ajudado