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⎝⎛​2561​531​​⎠⎞​53​=....

Pertanyaan

open parentheses 5 to the power of begin display style 1 third end style end exponent over 25 to the power of begin display style 1 over 6 end style end exponent close parentheses to the power of 3 over 5 end exponent equals.... 

  1. 0 

  2. 1 over 25 

  3. 1 fifth 

  4. 5 

  5. 1 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Jika diberikan bilangan riil a space dan space bb not equal to 0 dan bilangan rasional p comma space q comma space r maka berlaku sifat berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a to the power of p close parentheses to the power of q end cell equals cell a to the power of p q end exponent end cell row cell open parentheses a to the power of p over b to the power of p close parentheses to the power of r end cell equals cell a to the power of p r end exponent over b to the power of q r end exponent end cell end table 

Sehingga dapat ditentukan hasil dari bentuk berikut. 

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 5 to the power of begin display style 1 third end style end exponent over 25 to the power of begin display style 1 over 6 end style end exponent close parentheses to the power of 3 over 5 end exponent end cell equals cell 5 to the power of begin display style 1 third end style times begin display style 3 over 5 end style end exponent over 25 to the power of begin display style 1 over 6 end style times begin display style 3 over 5 end style end exponent end cell row blank equals cell 5 to the power of begin display style 1 fifth end style end exponent over open parentheses 5 squared close parentheses to the power of begin display style 1 over 10 end style end exponent end cell row blank equals cell 5 to the power of begin display style 1 fifth end style end exponent over 5 to the power of 2 times begin display style 1 over 10 end style end exponent end cell row blank equals cell 5 to the power of begin display style 1 fifth end style end exponent over 5 to the power of begin display style 1 fifth end style end exponent end cell row blank equals 1 end table  

Sehingga diperoleh table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 5 to the power of begin display style 1 third end style end exponent over 25 to the power of begin display style 1 over 6 end style end exponent close parentheses blank to the power of 3 over 5 end exponent end cell equals 1 end table.

Jadi, jawaban yang benar adalah E.

53

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