Question

VA ROGGG DAU COROANA URGENT EX 5 SI 6 DACA NU SE POT AMBELE MACAR 5

Answer 1

Răspuns:

5)

a) ${2}^{38}$

b) ${3}^{187}$

c) ${7}^{103}$

d) ${2}^{8}$

e) ${5}^{36}$

f) ${2}^{34}$

g) ${10}^{180}$

h) ${2}^{167}$

i) ${3}^{18}$

Answer 2

$\it 5.\\ \\ a)\ 2^{17}\cdot2^{21}=2^{17+21}=2^{38}\\ \\ d)\ 2^{47}:2^{39}=2^{47-39}=2^8\\ \\ i)\ 3^{108}:(3^{15})^6=3^{108}:3^{15\cdot6}=3^{108}:3^{90}=3^{108-90}=3^{18}\\ \\ j)\ (3^7\cdot5^{12})^2=(3^7)^2\cdot(5^{12})^2=3^{14}\cdot5^{24}\\ \\ k)\ (2^{10}\cdot3^7)^9:(2^5\cdot3^6)^{10}=2^{90}:2^{50}\cdot3^{63}:3^{60}=2^{40}\cdot3^3=27\cdot2^{40}$

$\it 6.\\ \\ a)\ (5^{17}\cdot5^{18}+7^{23}:7^{15}):(7\cdot7^2\cdot7^5+5^{50}:5^{15})=\\ \\ =(5^{35}+7^{8}):(7^8+5^{35})=(5^{35}+7^{8}):(5^{35}+7^{8})=1$