Question

(4³¹+6*32¹²-5*16¹⁵):(8²¹-5*8²⁰)-1= ​

Answer 1

Răspuns:

Explicație pas cu pas:

4^31 = (2^2)^31 = 2^62

32^12 = (2^5)^12 = 2^60

16^15 = (2^4)^15 = 2^60

2^62 + 6*2^60 - 5*2^60 = 2^60*(2^2 + 6 - 5) = 5*2^60

__________

8^21 - 5*8^20 = 8^20*(8 - 5) = 3*8^20 = 3*(2^3)^20 = 3*2^60

__________

5*2^60 : 3*2^60 - 1 = 5/3 - 1 = 5/3 - 3/3 = 2/3

Answer 2

Răspuns:

2/3

Explicație pas cu pas:

(4³¹+6*32¹²-5*16¹⁵):(8²¹-5*8²⁰)-1= (2²ˣ³¹+6*2⁵ˣ¹²-5*2⁴ˣ¹⁵):(2³ˣ²¹-5*2³ˣ²⁰)-1=

​(2⁶²+6*2⁶⁰-5*2⁶⁰):(2⁶³-5*2⁶⁰)-1=[2⁶⁰(2²+6-5)]:[2⁶⁰(2³-5)]-1=(4+6-5):(8-5)-1=5:3-1=5/3-3/3=2/3