Question

Aratati ca urmatoareler numere sunt patrate perfecte
a 25³⁷
b.4⁷⁵
c. 625⁷
d.9²⁷
e. 121¹²¹
f.(2x8)²¹
g.32¹⁹: 2¹⁹
h. 81¹²⁵

Answer 1

25 e 5 la a 5 a care e patrat perfect si de aceea la orice putere l ai ridica tot patrat perfect ramane ;
la fel si la 4=2la puterea a doua
625=25 la a doua
9=3 la a doua
121=11 la a doua
2*8=16=4 la a doua.....

Answer 2

a 25³⁷= (5²)³⁷= (5³⁷)²
b.4⁷⁵ = (2⁴⁷)²
c. 625⁷ = (25⁷)²
d.9²⁷= (3²⁷)²
e. 121¹²¹ = (11¹²¹)²
f.(2x8)²¹= (2⁴)²¹ =16²¹=(4²¹)²
g.32¹⁹: 2¹⁹ = (2⁵)¹⁹: 2¹⁹= (2⁴)¹⁹= (4²)¹⁹=( 4¹⁹)²
h. 81¹²⁵ = (9²)¹²⁵ = (9¹²⁵)²