Calculeaza
(2⁸×3⁷×5¹⁰)²:(4⁷×3¹⁴×5¹⁸)​

Răspuns:

Explicație pas cu pas:

( 2⁸x 3⁷x 5¹⁰)² : ( 4⁷x 3¹⁴x 5¹⁸) = 100

( 2¹⁶ x 3¹⁴ x 5¹⁰ˣ² ) : ( 2²ˣ⁷ x 3¹⁴ x 5¹⁸ ) =

= ( 2¹⁶ : 2¹⁴) x ( 3¹⁴ : 3¹⁴ ) x ( 5²⁰ : 5¹⁸ ) =

= 2⁽¹⁶⁻¹⁴⁾ x 3⁽¹⁴⁻¹⁴⁾ x 5⁽²⁰⁻¹⁸⁾ =

= 2² x 3⁰ x 5² =

= 4 x 1 x 25 =

= 100

(2⁸×3⁷×5¹⁰)² : (4⁷×3¹⁴×5¹⁸) =

= (2¹⁶×3¹⁴×5²⁰) : (2¹⁴×3¹⁴×5¹⁸)

= (2¹⁶ : 2¹⁴) × (3¹⁴ : 3¹⁴) × (5²⁰ : 5¹⁸)

= 2⁽¹⁶⁻¹⁴⁾×3⁽¹⁴⁻¹⁴⁾×5⁽²⁰⁻¹⁸⁾

= 2²×3⁰×5²

= 4×1×25

= 100