Question

Comparați numerele :
g)4^39[]5^26
h)2^45[]3^30
i)7^90[]6^135

ajutor rapid va rog.

Answer 1

Explicație pas cu pas:

g)

4³⁹ = (4³)¹³ = 64¹³

5²⁶ = (5²)¹³ = 25¹³

64 > 25 => 64¹³ > 25¹³ => 4³⁹ > 5²⁶

h)

2⁴⁵ = (2³)¹⁵ = 8¹⁵

3³⁰ = (3²)¹⁵ = 9¹⁵

8 < 9 => 8¹⁵ < 9¹⁵ => 2⁴⁵ < 3³⁰

i)

7⁹⁰ = (7²)⁴⁵ = 49⁴⁵

6¹³⁵ = (6³)⁴⁵ = 216⁴⁵

49 < 216 => 49⁴⁵ < 216⁴⁵ => 7⁹⁰ < 6¹³⁵

Answer 2

Răspuns:

4³⁹=(4³)¹³=64¹³

5²⁶=(5²)¹³=25¹³

avem acelasi exponent comparam baza

64 > 25

4³⁹ > 5²⁶

2⁴⁵=(2³)¹⁵=8¹⁵

3³⁰=(3²)¹⁵=9¹⁵

8 < 9

2⁴⁵ < 3³⁰

7⁹⁰=(7²)⁴⁵=49⁴⁵

6¹³⁵=(6³)⁴⁵=216⁴⁵

49 < 216

7⁹⁰ < 6¹³⁵