Question

Aratati ca următoarele numere sunt pătrate perfecte
A) 5^36
b)11^15:11¹³
c)(5^6)^7
D)3²⁴
e)7^100
f)13^78
g)19^25•19^7
h)2^72​

Answer 1

Răspuns:

a. 5^36=(5^18)^2 p.p

b.11^15:11^13=11^15-13=11^2 p.p

c. (5^6)^7=5^42=(5^21)^2 p.p

d.3^24=(3^12)^2

e. 7^100=(7^50)^2

f. 13^78=(13^39)^2

g. 19^25•19^7=19^18=(19^9)^2

h.2^72=(2^36)^2