Question

ex 6 acord 10 puncte dau coroana​

Answer 1

a)

${9}^{21} = ( {3}^{2} ) ^{21} = {3}^{42}$

${27}^{14} = ( {3}^{3} ) ^{14} = {3}^{42}$

${3}^{42} = {3}^{42} = > {9}^{21} = {27}^{14}$

b)

${16}^{13} = ({2}^{4} ) ^{13} = {2}^{52}$

${8}^{20} = ( {2}^{3} ) ^{20} = {2}^{60}$

${2}^{52} < {2}^{60} = > {16}^{13} < {8}^{20}$

c)

${4}^{24} = ({4}^{3}) ^{8} = {64}^{8}$

${7}^{16} = ( {7}^{2} ) ^{8} = {49}^{8}$

${64}^{8} > {49}^{8} = > {4}^{24} > {7}^{16}$

Answer 2

Salut !

Răspuns:

Explicație pas cu pas:

a)9^21  si 27^24

9^21=(3^2)^21 = 3^42

27^24= (3^3)^24= 3^42

3^42 egal cu 3^42

b)16^13 si 8 ^20

16^13 = (2^4)^13 = 2^52

8^20= (2^3)^20= 2^60

2^52 mai mic ca 2^60

c)4^24 si 7^16

4^24= (4^3)^8 = 64^8

7^16=(7^2)^8 = 49^8

64^8 mai mare ca 49^8

Succes !