Răspuns
Explicație pas cu pas:
a) 3¹⁰¹ : 9⁵⁰ = 3¹⁰¹ : ( 3² ) ⁵⁰ = 3¹⁰¹ : 3¹⁰⁰ = 3 ⁽ ¹⁰¹ ⁻ ¹⁰⁰ ⁾ = 3¹ = 3
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b) ( 3⁵⁷ : 9²⁵ x 3¹⁰ ) : 3¹⁵ =
= [ 3⁵⁷ : ( 3² ) ²⁵ x 3¹⁵ ] : 3¹⁵ =
= ( 3⁵⁷ : 3⁵⁰ x 3¹⁵ ) : 3¹⁵ =
= 3 ⁽ ⁵⁷ ⁻ ⁵⁰ ⁺ ¹⁵ ⁾ : 3¹⁵ =
= 3⁽²² ⁻ ¹⁵ ⁾ =
= 3⁷
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2 x 4 x 2⁴³ - 2⁴⁶ + [ 9⁷⁴ : 3⁴³ - ( 3¹⁵ )⁶ ] ⁰ =
= 2 ⁽ ¹ ⁺ ² ⁺ ⁴³ ⁾ - 2⁴⁶ + 1 =
= 2⁴⁶ - 2⁴⁶ + 1 =
= 1
Orice numar ridicat la puterea 0 este 1
