Question

13. Calculați, folosind proprietatea a^m:a^n=a^m-^n
a) (24)? - 22
b) (39)*:39
c) (58)':(594.5)
d) (7):(77:7)
.) (138):(135)
71":(7)
g) 27 : (29)
1) 38:34

Answer 1

Răspuns:

Explicație pas cu pas:

a) (2⁴)⁷ - 2²⁸ = 2⁴ˣ⁷ - 2²⁸ = 2²⁸-2²⁸ = 0

b) (3⁵)⁴ :3 ¹⁹ = 3⁵ˣ⁴ : 3¹⁹ = 3²⁰ : 3¹⁹ = 3²⁰⁻¹⁹ = 3

c) (5⁸)⁷ : (5⁵³·5) = 5⁸ˣ⁷ : 5⁵³⁺¹ = 5⁵⁶ : 5⁵⁴ = 5⁵⁶⁻⁵⁴ = 5² = 25

d) (7⁷)⁷ : (7⁷⁷:7⁷ˣ⁵) = (7⁷ˣ⁷) : (7⁷⁷ : 7³⁵) = 7⁴⁹ : (7⁷⁷⁻³⁵) =

= 7⁴⁹ : 7⁴² = 7⁴⁹⁻⁴² = 7⁷

e) (13⁸)¹³ : (13²⁶)⁴ = 13⁸ˣ¹³ : 13²⁶ˣ⁴ = 13¹⁰⁴ : 13¹⁰⁴ = 1

f) 7^¹³^² : (7⁴²)⁴ = 7¹³ˣ¹³ : 7⁴²ˣ⁴ = 7¹⁶⁹ : 7¹⁶⁸ = 7¹⁶⁹⁻¹⁶⁸ = 7

g) 2^⁷^² : (2⁸)⁶ = 2⁷ˣ⁷ : 2⁸ˣ⁶ = 2⁴⁹ : 2⁴⁸ = 2⁴⁹⁻⁴⁸ = 2

h) 3^⁸^² : 3^⁴^³ = 3⁸ˣ⁸ : 3⁴ˣ⁴ˣ⁴ = 3⁶⁴ : 3⁶⁴ = 1