Question

25 la puterea 10 împărțit la 125 la puterea 6

Answer 1

25¹⁰ : 125⁶ =

= 5²⁾¹⁰ : 5³⁾⁶

= 5²⁰ : 5¹⁸

= 5²⁰⁻¹⁸

= 5²

Answer 2

${25}^{10} : {125}^{6} = \\ \\ { {(5}^{2}) }^{10} : { {(5}^{3}) }^{6} = \\ \\ {5}^{2 \times 10} : {5}^{3 \times 6} = \\ \\ {5}^{20} : {5}^{18} = \\ \\ {5}^{20 - 18} = \\ \\ {5}^{2} = \\ \\ 25$