Scrie sub forma unei singure puteri cu exponent număr natural:
a)2 la puterea 8×3 la puterea 8
b)5 la puterea 32×6 la puterea 32
c)4 la puterea 103×5 la puterea 103
d)7 la puterea 56×2 la puterea 56
e)14 la puterea 33×15 la puterea 33
f)9 la puterea 213×10 la puterea 213
g)4 la puterea 5:2 la puterea 5
h)6 la puterea 11:3 la puterea 11
i)8 la puterea 201:4 la puterea 201
j)6 la puterea 13:2 la puterea 13
K) 10 la puterea 11:25 la puterea 11
L)100 la puterea 100:15 la puterea 100
VA ROG URGENT! DAU COROANA!
Răspunsuri la întrebare
a) 2^8*3^8 = (2*3)^8 = 6^8
b) 5^32*6^32 = (5*6)^32 = 30^32
c) 4^103*5^103 = (4*5)^103 = 20^103
d) 7^56*2^56 = (7*2)^56 = 14^56
e) 14^33*15^33 = (14*15)^33 = 210^33
f) 9^213*10^213 =(9*10)^213 = 90^213
g) 4^5:2^5 = 2^10:2^5 = 2^5
h) 6^11:3^11 = (2*3)^11:3^11 = 2^11*3^11:3^11 = 2^11
i) 8^201: 4^201 = 2^603 : 2^402 = 2^201
j) 6^13: 2^13 = (2*3)^13 : 2^13 = 2^13*3^13 : 2^13 = 3^13
a) 2⁸ x 3⁸ = ( 2 x 3 )⁸ = 6⁸
b) 5³² x 6³² = ( 5 x 6 )³² = 30³²
c) 4¹⁰³ x 5¹⁰³ = ( 4 x 5 )¹⁰³ = 20¹⁰³
d) 7⁵⁶ x 2⁵⁶= ( 7 x 2 ) ⁵⁶ = 14⁵⁶
e) 14³³ x 15³³ = ( 14 x 15 )³³ = 210³³
f) 9²¹³ x 10²¹³ = ( 9 x 10 ) ²¹³= 90²¹³
g ) 4⁵ : 2⁵ = ( 4 : 2 ) ⁵ = 2⁵
h ) 6¹¹ : 3¹¹ = ( 6 : 3 )¹¹ = 2¹¹
i ) 8²⁰¹ : 4²⁰¹ = ( 8 : 4 ) ²⁰¹ = 2²⁰¹
j ) 6¹³ : 2¹³ = ( 6 : 2 )¹³ = 3¹³
k ) 10¹¹ : 25¹¹ = ( 2 / 5 )¹¹
daca e 100 in loc de 10, atunci: 100¹¹ : 25¹¹ = ( 100 : 25 )¹¹ = 4¹¹
l) 100¹⁰⁰ : 15¹⁰⁰ = ( 100 / 15 )¹⁰⁰ = ( 20 / 3 ) ¹⁰⁰