Question

scrieți sub forma unei singure puteri :
2,5^2 x 2,5^4 x 2,5^6 x...x 2,5^100

Answer 1

2,5^2 x 2,5^4 x 2,5^6 x...x 2,5^100 =

2,5^(2x50x(50+1):2) = 2,5^(100x51:2) = 2,5^(50x51) = 2,5^2550

Answer 2

2,5² x 2,5⁴ x 2,5⁶ x...x 2,5¹⁰⁰ =

= 2,5²⁺⁴⁺⁶⁺...⁺¹⁰⁰ =

= 2,5 ⁵⁰*⁵¹ = 2,5²⁵⁵⁰