Question

Ajuda matemática alguém sabe?

Answer 1

Resposta:

h) 460^0 = 1

i) 529^1/2 = √529 = 23

j) (-0,4)^-3 = (-0,4/1)^-3 = (1/-0,4)^3 = (1/-0,064) = -15,625

k) 0^3690 = 0

l) 3^√0,125 = 0,5

m) 5^√81/5^√32 = 5^4/5 / 2 = 2,5^4/5

81|3

27|3

9|3 = 3^4

3|3

1

5^√81 = 5^√3^4 = 5^4/5

n) 5^3/4 . 5^1/4 = 4^√5^3 . 4^√5 = 4^√125 . 4^√5 = 4^√625 = 5

o) 2^15/7 / 2^1/2 = 7^√2^15 / √2 = 7^√32.768 / √2 = 4 7^√2 / √2 = 2^1/7 / 2^1/2 = 2^2/14 - 2^7/14= 2^-5/14

32.768|2

16.384|2

8.192|2

4.096|2

2.048|2

1.024|2

512|2 = 2^7 . 2^7 . 2

256|2

128|2

64|2

32|2

16|2

8|2

4|2

2|2

1

7^√32.768 = 7^√2^7 . 2^7 . 2 = 2 . 2 . 7^√2 = 4 . 7^√2 = 4 7^√2

p) (2^4)^3/2 = (2.2.2.2)^3/2 = √(16)^3 = √4.096 = 64