Question

Calculează:
1) 16 la puterea a 4 * 4 la a 10*64 la a 5;
2) c la puterea 58:c la 39: c la a 9
3)125 la 42 : 25 la 63
4 ) ( 8 la 37*81 la 25):16 la 27*27 la 33)

Answer 1

1) 16⁴ * 4¹⁰*64⁵= (2⁴)⁴* (2²)¹⁰*(2⁶)⁵= 2¹⁶*2²⁰*2³⁰= 2⁶⁶
2) c⁵⁸: c³⁹: c⁹= c¹⁰
3)125⁴²: 25⁶³= (5³)⁴⁵ : (5²)⁶³=5¹³⁵ : 5¹²⁶= 5⁹
4 ) ( 8³⁷*81²⁵): (16²⁷*27³³) = [(2³)³⁷*(3⁴)²⁵] : [(2⁴)²⁷* (3³)³³]=
(2¹¹¹ *3¹⁰⁰) : (2¹⁰⁸*3⁹⁹)= 2³*3