Question

5) Aplique a propriedade da potência: a) [(-4)² ]³ = b) [(+5)³ ]⁴ = c) [(-3)³ ]² = d) [(-7)³ ]³ = e) [(+2)⁴ ]⁵ = f) [(-7)⁵ ]³ =

Answer 1

a)4.096
b)244.140.625
c)729
d)40.353.607
e)1.048.576
f) 4.747.561.509.943


Explicação passo-a-passo:
a) [(-4)²]³ = [(-4).(-4)]³ = [16]³=[16.16.16]= 4.096
b)[(+5)³]⁴ = [(5.5.5)]⁴ = [125]⁴= 244.140.625
c)[(-3)³]²=[(-3).(-3).(-3)]²=[-27]²=[(-27).(-27)]=729
d)[(-7)³]³=[(-7).(-7).(-7)]³= [-343]³=[(-343).(-343).(-343)]= - 40.353.607
e) [(+2)⁴ ]⁵ = [2.2.2.2]⁵=[16]⁵=[16*16*16*16*16]= 1.048.576
F) f) [(-7)⁵]³ = [(-16.807)]³ = - 4.747.561.509.943

Answer 2

Resposta e Explicação passo-a-passo:

a) [(-4)² ]³ =  

[(-4)²] = [(-4) x (-4)] = 16  

[16]³ =  [16 x 16 x 16] = 4.096

b) [(+5)³ ]⁴ =  

[(+5)³] = (+5) x (+5) x (+5) = 125

[125]⁴ = [125 x 125 x 125 x 125] = 244.140.625‬

c) [(-3)³ ]² =  

[(-3)³] = (-3) x (-3) x (-3) = -27

[-27]² = [(-27) x (-27]) = 729

d) [(-7)³ ]³

[(-7)³] = (-7) x (-7) x (-7) = -343

[-343]³ = [(-343) x (-343) x (-343)] = -40.353.607‬

e) [(+2)⁴ ]⁵

[(+2)⁴] = [(+2) x (+2) x (+2) x (+2) x (+2)] = 16

[16]⁵ = [16 x 16 x 16 x 16 x 16] = 1.048.576

f) [(-7)⁵ ]³ =

[(-7)⁵] = [ (-7) x (-7) x (-7) x (-7) x (-7)] = -16.807

[-16.807]³ = [(-16.807) x (-16.807) x (-16.807)] = -4.747.561.509.943