Question

2^100:[2^50×2^48+(5^75:5^74-3^1)^98]+2^3^0=

Answer 1

Răspuns:

Explicație pas cu pas:

2¹⁰⁰ : [ 2⁵⁰ x 2⁴⁸ + ( 5⁷⁵ : 5⁷⁴ - 3¹ )⁹⁸ ] + 2¹ = 4

= 2¹⁰⁰ : [ 2⁽⁵⁰⁺⁴⁸⁾ + ( 5⁽⁷⁵⁻⁷⁴⁾ - 3 )⁹⁸ ] + 2 =

= 2¹⁰⁰ : [ 2⁹⁸ + ( 5 - 3 )⁹⁸ ] + 2 =

= 2¹⁰⁰ : ( 2⁹⁸ + 2⁹⁸ ) + 2 =

= 2¹⁰⁰ : [ 2⁹⁸ x ( 1 + 1 ) ] + 2 =

=  2¹⁰⁰ : ( 2⁹⁸ x 2) + 2 =

= 2¹⁰⁰ : ( 2⁹⁸⁺¹) + 2 =

= 2⁽ ¹⁰⁰ ⁻ ⁹⁹ ⁾  + 2 =

= 2¹ + 2 =

= 4