Question

compara nr a=3^120 b=2^180 ​

Answer 1

Răspuns:

3¹²⁰=(3²)⁶⁰=9⁶⁰

2¹⁸⁰=(2³)⁶⁰=8⁶⁰

9 > 8

3¹²⁰ > 2¹⁸⁰

Answer 2

Explicație pas cu pas:

${3}^{120} si {2}^{180} \\ \\ \\ 120 = {60}^{2} \\ 180 = {60}^{3} \\ \\ {3}^{120} = ( {3}^{2} ) {}^{60} = {9}^{60} \\ {2}^{180} = ({2}^{3} ) {}^{60} = {8}^{60 } \\ \\ {9}^{60} > {8}^{60} = > \: {3}^{120} > {2}^{180}$