Question

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(4^2 × 2^5)^6 : 8^18=


27^5 : 3^14 + 2^60 : 64^10=


25^30 : 5^58 - 7^21 : 49^10


6^70 : (2^68 × 3^70)


12^40 : (2^80×3^37)


18^20 : ( 2^18 × 3^39)

Answer 1

Răspuns:

Explicație pas cu pas:

( 4² x 2⁵ )⁶ : 8¹⁶ = 5⁶

= ( 2²ˣ²⁺⁵)⁶ : ( 2³)¹⁶ =

= 2⁹ˣ⁶ : 2³ˣ¹⁶ =

= 2⁵⁴⁻⁴⁸ =

= 5⁶

________________________

27⁵ : 3¹⁴ + 2⁶⁰ : 64¹⁰ = 4

= (3³)⁵ : 3¹⁴ + 2⁶⁰ : ( 2⁶)¹⁰ =

= 3³ˣ⁵⁻¹⁴ + 2⁶⁰⁻⁶ˣ¹⁰ =

= 3¹ + 2⁰ =

= 3 + 1 =

= 4

__________________________

25³⁰ : 5⁵⁸ - 7²¹ : 49¹⁰ = 18

= (5²)³⁰ : 5⁵⁸ - 7²¹ : 7²ˣ¹⁰ =

= 5⁶⁰⁻⁵⁸ - 7²¹⁻²⁰ =

= 5² - 7 =

= 25 - 7

= 18

__________________________

6⁷⁰ : ( 2⁶⁸ x 3⁷⁰) = 4

= (2⁷⁰ x 3⁷⁰) : ( 2⁶⁸ x 3⁷⁰) =

= 2⁷⁰⁻⁶⁸ x 3⁷⁰⁻⁷⁰ =

= 2² x 1 =

= 4

_____________________

12⁴⁰ : ( 2⁸⁰ x 3³⁷) = 27

= ( 6 x 2)⁴⁰ : [( 2³⁷ x 3³⁷ ) x 2⁴³] =

= (6³⁷ x 6³ x 2⁴⁰) :( 6³⁷ x 2⁴³) =

= 3³ x 2³ x 2⁴⁰ : 2⁴³=

= 27

___________________________

18²⁰ : ( 2¹⁸ x 3³⁹) = 12

= ( 2²⁰ x 3²ˣ²⁰ ) : ( 2¹⁸ x 3³⁹) =

= 2²⁰⁻¹⁸ x 3⁴⁰⁻³⁹ =

= 2² x 3 =

= 12