a) 10⁶⁰ : ( 2 x 5 )⁵⁸ = 10⁶⁰ : 10⁵⁸ = 10 ⁽ ⁶⁰ ⁻ ⁵⁸ ⁾ = 10² = 100
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b) ( 7¹⁴ x 5 ) ² : 7²⁶ = 7²⁸ x 5² : 7²⁶ = 7² x 5² = ( 7 x 5 )² = 35² = 1 225
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c) ( 7⁶ )⁸ : 49²⁴ = 7⁴⁸ : ( 7² )²⁴ = 7 ⁽ ⁴⁸ ⁻ ⁴⁸ ⁾ = 7⁰ = 1
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d) ( 3⁴ )⁹ : ( 9⁶ )³ = 3³⁶ : ( 3² ) ¹⁸ = 3 ⁽ ³⁶ ⁻ ³⁶ ⁾ = 3⁰ = 1
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e) ( 11²⁰¹¹ x 4¹⁰⁰⁵ ) : [ ( 22² )⁵ ] ²⁰¹ = 11
= ( 11²⁰¹¹ x 4¹⁰⁰⁵ ) : [ ( 2² x 11² )⁵ ] ²⁰¹ =
= ( 11²⁰¹¹ x 4¹⁰⁰⁵ ) : ( 11²⁰¹⁰ x 4¹⁰⁰⁵ ) =
= 11
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f) 2²³ : 2²¹ : 2 + 3³² : 3³¹ x 3 = 3
= 2 ⁽ ²³ ⁻ ²¹ ⁻ ¹ ⁾ + 3 ⁽ ³² ⁻ ³¹ ⁻ ¹ ⁾ =
= 2¹ + 3⁰ =
= 2 + 1 =
= 3