Question

Comparati numerele: 200^30 si 8^10×10^60

Answer 1

200= 2 x 100 = 2 x 2 x 50 = 2 x 2 x 2  x 25 = 2³ x 5²

8=2³

10=2 x 5

200³⁰= (2³ x 5²) ³⁰ = 2⁹⁰ x 5⁶⁰

8¹⁰ x 10⁶⁰ = 2³⁰ x 2⁶⁰ x 5⁶⁰ = 2⁹⁰ x 5⁶⁰

 2⁹⁰ x 5⁶⁰ = 2⁹⁰ x 5⁶⁰

200³⁰ = 8¹⁰ x 10⁶⁰