Question

Ma puteti ajuta si pe mine va rog ex 13

Answer 1

a)

3¹² : 3¹⁰ + ( 3 x 5 )¹⁰ : 15⁹ - 2011⁰ x 1²⁰¹¹= 23

= 3 ⁽ ¹² ⁻ ¹⁰ ⁾ + 15 ⁽ ¹⁰ ⁻ ⁹ ⁾ - 1 x 1 =

= 3² + 15¹ - 1 =

= 9 + 15 - 1 =

= 24 - 1 =

= 23

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b)

4¹³ : 8⁶ + 7³ - 5² x [ 625 : 5⁴ + 16 : ( 7 x 3² - 55 ) ] = 524

= ( 2² ) ¹³ : ( 2³ ) ⁶ + 343 - 5² x [ 5⁴ : 5⁴ + 16 : ( 7 x 9 - 55 ) ] =

= 2²⁶ : 2¹⁸+ 343 - 25 x [ 1 + 16 : ( 63 - 55 ) ] =

= 2 ⁽ ²⁶ ⁻ ¹⁸ ⁾+ 343 - 25 x ( 1 + 16 : 8 ) =

= 2⁸ + 343 - 25 x 3 =

= 256 + 343 - 75 =

= 599 - 75 =

= 524

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c)

18 x [ 1 + 3⁷ x 3⁵³ + 7⁸⁴ : 7¹⁴ + ( 5⁴ ) ²⁰ ] : ( 13⁰ + 3⁶⁰ + 7⁷⁰ + 5⁸⁰ ) = 18

= 18 x ( 1 + 3 ⁽ ⁷ ⁺ ⁵³ ⁾ + 7 ⁽ ⁸⁴ ⁻ ¹⁴ ⁾ + 5 ⁴ ˣ ² ⁰ ) : ( 1 + 3⁶⁰ + 7⁷⁰ + 5⁸⁰ ) =

= 18 x ( 1 + 3⁶⁰ + 7⁷⁰ + 5⁸⁰ ) : ( 1 + 3⁶⁰ + 7⁷⁰ + 5⁸⁰ ) =

= 18