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Tentukan nilai dari perpangkatan berikut ini. c.

Pertanyaan

Tentukan nilai dari perpangkatan berikut ini.

c.   begin mathsize 14px style 1 half cubed cross times open parentheses open parentheses negative 1 half close parentheses cubed close parentheses to the power of 4 end style 

  1. ...space 

  2. ...undefined 

Pembahasan Soal:

Ingat kembali pengertian bilangan berpangkat dan aturan-aturan bilangan berpangkat berikut.

 begin mathsize 14px style a to the power of m equals stack stack a cross times a cross times a cross times a cross times... cross times a with underbrace below with sebanyak space straight m space kali below end style 

 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a to the power of m cross times a to the power of n end cell equals cell a to the power of m plus n end exponent end cell row cell open parentheses a cross times b close parentheses to the power of m end cell equals cell a to the power of m cross times b to the power of m end cell row cell open parentheses a over b close parentheses to the power of m end cell equals cell a to the power of m over b to the power of m end cell row cell open parentheses a to the power of m close parentheses to the power of n end cell equals cell a to the power of m cross times n end exponent end cell end table end style 

sehingga

  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 1 half cubed cross times open parentheses open parentheses negative 1 half close parentheses cubed close parentheses to the power of 4 end cell equals cell open parentheses 1 half close parentheses cubed cross times open parentheses negative 1 half close parentheses to the power of 3 cross times 4 end exponent end cell row blank equals cell open parentheses 1 half close parentheses cubed cross times open parentheses negative 1 half close parentheses to the power of 12 end cell row blank equals cell open parentheses 1 half close parentheses cubed cross times open parentheses negative 1 cross times 1 half close parentheses to the power of 12 end cell row blank equals cell open parentheses 1 half close parentheses cubed cross times open parentheses negative 1 close parentheses to the power of 12 cross times open parentheses 1 half close parentheses to the power of 12 end cell row blank equals cell open parentheses 1 half close parentheses cubed cross times 1 cross times open parentheses 1 half close parentheses to the power of 12 end cell row blank equals cell open parentheses 1 half close parentheses to the power of 3 plus 12 end exponent end cell row blank equals cell open parentheses 1 half close parentheses to the power of 15 end cell row blank equals cell 1 to the power of 15 over 2 to the power of 15 end cell row blank equals cell 1 over 32768 end cell end table end style  

Jadi, hasil dari undefined adalah begin mathsize 14px style 1 over 32768 end style 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 11 Februari 2021

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