Question

( 8^37 x 81^25):( 16^27 x 27^33)=
2^1 x 2^2 x 2^3 x 2^4 .......... x 2^45=
ajutati-ma

Answer 1

= [ ( 2 ³ ) ³⁷·  ( 3⁴ ) ²⁵ ] : [ ( 2⁴ ) ²⁷· ( 3³ ) ³³ ] = [ 2 ¹¹¹·  3¹⁰⁰ ] : [ 2¹⁰⁸ ·3⁹⁹ ] = 
 = 2¹¹¹ ⁻ ¹⁰⁸ · 3¹⁰⁰ ⁻ ⁹⁹ = 2³ · 3¹  = 8· 3 = 24 

b. 2 ¹ ⁺ ² ⁺³ ⁺ ....... ⁺ ⁴⁵  = 2 ¹⁰³⁵ 

1 +2+ 3+ .... + 45 = ( 1 +45 ) · 45 /2 = 46 · 45 /2 = 23 · 45 = 1035