Question

scrie rezultatul sub forma de puteri ​

Answer 1

⭐Salutare!⭐

Raspuns:

a) $3^{11}$

b) $7^{20}$

c) $5^{6}$

d) $3^{33}$

e) $11^{25}$

f) $13^{50}$

g) $23^{138}$

h) $17^{31}$

i) $2^{65}$

j) $3$

Explicatie:

a) $3^{5}*3^{6}=3^{11}$

b) $7^{12}*&^{8}=7^{20}$

c) $(5^{3})^{2}=5^{6}$

d) $3^{5}*3^{7}*3^{9}*3^{11}=3^{33}$

e) $11^{100}:11^{50}:11^{25}=11^{25}$

f) $13^{24}*13^{46}:13^{20}=13^{50}$

g) $(23^{6})^{13}*(23^{4})^{15}=23^{78}*23^{60}=23^{138}$

h) $(17^{12})^{8}:(17^{13})^{5}=17^{96}:17^{65}=17^{31}$

i) $2^{3}*8^{4}*16^{5}*32^{6}=2^{3}*(2^{3})^{4}*(2^{4})^{5}*(2^{5})^{6}=2^{3}*2^{12}*2^{20}*2^{30}=2^{65}$

j) $(3*3^{2}*3^{3}):3^{5}=3^{6}:3^{5}=3$

Reguli de calcul folosite:

→→ $a^{b}*a^{c}=a^{b+c}$

→→ $a^{b}:a^{c}=a^{b-c}$

→→ $(a^{b})^{c}=a^{b*c}$

→→ $a=a^{1}$

-Luke48