Question

$( {8}^{37} \times {81}^{25} ) \div ( {16}^{27} \times {27}^{33} )$
Calculează

Answer 1

(2^(3*37)*3^100):(2^(4*27)*3^99)=2^(111-108) *3^(100-99)=2³*3=8*3=24

Answer 2

(8³⁷ x 81²⁵): (16²⁷x27³³) = [(2³)³⁷x(3⁴)²⁵] :[(2⁴)²⁷x(3³)³³] =

(2³ˣ³⁷x3⁴ˣ²⁵) : (2⁴ˣ²⁷x3³ˣ³³) = (2¹¹¹x3¹⁰⁰):(2¹⁰⁸x3⁹⁹) = 2¹¹¹⁻¹⁰⁸x3¹⁰⁰⁻⁹⁹ =

= 2³x3 = 8x3 = 24