Question

5•5^3•5^5•...5^99=? ​

Answer 1

Răspuns:

Explicație pas cu pas:

5•5^3•5^5•...5^99=5^(1+3+5+....+99)

1+3+5+....+99)=(1+2+3+4+.....+100)-2(1+2+3+...+50)=100×101/2-2×50×51/2=

=50×101-50×51=50(101-51)=50²=2500

5•5^3•5^5•...5^99=5^2500