Question

scrieti polosind cat mai putine puteri
a) 4 la puterea 2 . 2 la puterea 5 .9 la puterea 2 .16 la puterea 4 .3 la puterea 7 . 27 la puterea 2
b) 125 la puterea 3 . 8 la puterea 3 . 5 la puterea 4 : 2 la puterea 3 . 25 la puterea 2
c)a la puterea 3 . b la puterea 3 . a la puterea 5 . b la puterea 8 . (a la puterea 2 )la puterea 4 : (b la puterea 2 )la puterea 3

Answer 1

a) 4² *2⁵ *9² *16⁴ *3⁷*27²=(2²)²* 2⁵*(3²)² *(2⁴)⁴*3⁷*(3³)²= 2⁴*2⁵*3⁴*2¹⁶*3⁷*3⁶=

=2²⁵* 3¹⁷= 2¹⁷*3¹⁷*2⁸= 6¹⁷*2⁸


b) 125³* 8³ * 5⁴ : 2³*25²=(5³)³ *(2³)³*5⁴ : 2³*(5²)²=5⁹*2⁹*5⁴ : 2³*5⁴=

=2⁶*5⁹= 2⁶*5⁶*5³=10⁶*5³

c)a³ * b ³ * a⁵ * b⁸* (a²)⁴ : (b²)³= a⁸ * b¹¹ : a⁸ * b⁶= b⁵