Question

Toate exercițiile vă rog am mare nevoie dau corona​

Answer 1

a) 2018¹⁰=(2018⁵)²

b) 81⁷=(9²)⁷=(9⁷)²

Answer 2

Răspuns:

Explicație pas cu pas:

a)

2018^10 = (2018^5)^2 patrat perfect

b)

81^7 = (9^2)^7 = (9^7)^2 patrat perfect

c)

1 + 2 + 3 + ... + 2018 = 2018*2019/2

2*2018*2019/2 = 2018*2019

2018*2019 + 2019 = 2019*(2018 + 1) = 2019*2019 patrat perfect

d)

3^6n+3 + 2*3^6n+2 + 5*3^6n+1 + 4*3^6n

= 3^6n*(3^3 + 2*3^2 + 5*3 + 4)

= 3^6n*(27 + 18 + 15 + 4)

= 64*3^6n

= (8*3^2n)^2 patrat perfect

e)

4^50 + 4^49 + 4^48 = 4^48*(4^2 + 4 + 1) = 21*4^48

21*4^48 : 21 = 4^48

4^48 = (4^24)^2 patrat perfect

4^48 = (4^16)^3 cub perfect