Question

Ma ajutati va rog la ex 1

Answer 1

Explicație pas cu pas:

3^2n*5^(2n+2)=9^n*25^n*25

9^n*5^(2n+3)=9^n*25^n*125

3^(2n+1)*5^(2n+2)=9^n*3*25^n*25=9^n*25^n*75

=>N²=9^n*25^n*(25+125+75)=>

N²=9^n*25^n*225 => N²=(3^n*5^n*15)²=>

N²=(15^n*15)²=>N²=[15^(n+1)]²=>N=|15^(n+1)| =>

N=15^(n+1)