Question

rezolvati:

( $8^{37}$ · $81^{25$ ) : ($16^ {27}$· $27^ { 33 }$ ) =

Answer 1

=( 2³ ) ³⁷· (3 ⁴ )²⁵  : ( 2⁴) ²⁷ : (3³ )³³ = 2¹¹¹· 3¹⁰⁰ :2¹⁰⁸ :3⁹⁹ = 2 ¹¹¹ ⁻ ¹⁰⁸· 3¹⁰⁰ ⁻ ⁹⁹=
=2³·3¹ = 8 ·3 = 24

Answer 2

$[( 2^{3} ) ^{37} * (3^{4}) ^{25} )]:[( 2^{4}) ^{27} *( 3^{3} ) ^{33} ]$=
$( 2^{111}* 3^{100} ):( 2^{108} * 3^{99} )$=
$2^{3} *3$=
8*3=24