Răspuns :
a) 2³ x 4³ = 2³ x ( 2² )³ = 2³ x 2⁶ = 2 ⁽ ³ ⁺ ⁶ ⁾ = 2⁹
b) 2⁷ x 16 = 2⁷ x 2⁴ = 2 ⁽ ⁷ ⁺ ⁴ ⁾ = 2¹¹
c) 2²⁵ x 4¹³ x 8⁷= 2²⁵ x ( 2² ) ¹³x ( 2³) ⁷ = 2²⁵ x 2²⁶x 2²¹ = 2 ⁽ ²⁵ ⁺ ²⁶ ⁺ ²¹ ⁾ = 2⁷²
d) 9² x 27³ x 3⁷ = ( 3² ) ² x ( 3³ ) ³ x 3⁷ = 3 ⁽ ⁴ ⁺ ⁹ ⁺ ⁷ ⁾ = 3²⁰
e) 4²² : 2⁴⁰ = ( 2² )²² : 2⁴⁰ = 2 ⁽ ⁴⁴ ⁻ ⁴⁰ ⁾ = 2⁴
f) 3⁶ x 4⁶ : 12⁴ = ( 3 x 4 )⁶ : 12⁴ = 12 ⁶ : 12⁴ = 12 ⁽ ⁶ ⁻ ⁴ ⁾ = 12²
g) ( 5¹⁰ x 25² )³ : 5⁴⁰ = 5²
= ( 5 ⁽ ¹⁰ ⁺⁴ ⁾ )³ : 5⁴⁰ =
= ( 5¹⁴ )³ : 5⁴⁰ =
= 5 ⁽ ⁴² ⁻ ⁴⁰ ⁾ =
= 5²
h) 125⁶ : 25 x ( 5³ ) ¹¹ = 5⁴⁹
= ( 5³ ) ⁶ : 5² x 5 ³ˣ¹¹=
= 5 ⁽ ¹⁸ ⁻ ² ⁺ ³³ ⁾ =
= 5 ⁽ ¹⁶ ⁺ ³³ ⁾ =