Question

Aratati ca urmatoarele numere sunt patrate perfecte

(5^6)^7

3^24

11^15:11^13

13^78

19^25*19^7

2^72


va rog urgent dau coroana

Answer 1

Răspuns: Explicație pas cu pas:

a) 4^15×121^17 = (2^2)^15 * (11^2)^17 = (2^15)^2 * (11^17)^2 = (2^15*11^17)^2 patrat perfect

b) 5^14×7^8×13^24 = (5^7)^2*(7^4)^2*(13^12)^2 = (5^7*7^4*13^12)^2 patrat perfect

c) 3^25+3^34 = 3^34*(3 + 1) = 4*3^34 = (2^2)^2*(3^17)^2 = (2^2*3^17)^2 patrat perfect

d )2^25-7×2^20​ = 2^20(2^5 - 7) = 2^20(32 - 7) = 25*2^20 = 5^2*(2^10)^2 =

= (5*2^10)^2 patrat perfect