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Tentukan hasil operasi hitung berikut! e. 8 ( 2 a 2 b ) − 4 f. 6 ( 8 x 5 y 7 z 8 ) 0

Tentukan hasil operasi hitung berikut!

e.   
f.    

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F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

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Pembahasan

Ingat kembali aturan eksponen berikut ini! Dengan aturan eksponen di atas, diperoleh perhitungan sebagai berikut. e. , maka hasilnya: f. , maka hasilnya: Jadi,hasil pemangkatan bilangan-bilangan tersebut adalah (e) ; dan (f)

Ingat kembali aturan eksponen berikut ini!

  • a to the power of negative m end exponent equals 1 over a to the power of m 
  • open parentheses a to the power of m close parentheses to the power of n equals a to the power of m times n end exponent 
  • a to the power of 0 equals 1 

Dengan aturan eksponen di atas, diperoleh perhitungan sebagai berikut.

e. 8 open parentheses 2 a squared b close parentheses to the power of negative 4 end exponent, maka hasilnya:

 table attributes columnalign right center left columnspacing 0px end attributes row cell 8 open parentheses 2 a squared b close parentheses to the power of negative 4 end exponent end cell equals cell 8 open parentheses 2 to the power of negative 4 end exponent a to the power of 2 times left parenthesis negative 4 right parenthesis end exponent b to the power of negative 4 end exponent close parentheses end cell row blank equals cell 8 open parentheses 2 to the power of negative 4 end exponent a to the power of negative 8 end exponent b to the power of negative 4 end exponent close parentheses end cell row blank equals cell fraction numerator 8 over denominator 2 to the power of 4 a to the power of 8 b to the power of 4 end fraction end cell row blank equals cell fraction numerator 8 over denominator 16 a to the power of 8 b to the power of 4 end fraction end cell row blank equals cell 8 over 16 times fraction numerator 1 over denominator a to the power of 8 b to the power of 4 end fraction end cell row blank equals cell 1 half times fraction numerator 1 over denominator a to the power of 8 b to the power of 4 end fraction end cell row blank equals cell fraction numerator 1 over denominator 2 a to the power of 8 b to the power of 4 end fraction end cell end table  

f.  6 open parentheses 8 x to the power of 5 y to the power of 7 z to the power of 8 close parentheses to the power of 0, maka hasilnya:

table attributes columnalign right center left columnspacing 0px end attributes row cell 6 open parentheses 8 x to the power of 5 y to the power of 7 z to the power of 8 close parentheses to the power of 0 end cell equals cell 6 open parentheses 8 to the power of 0 times x to the power of 5 times 0 end exponent times y to the power of 7 times 0 end exponent times z to the power of 8 times 0 end exponent close parentheses end cell row blank equals cell 6 open parentheses 1 times x to the power of 0 times y to the power of 0 times z to the power of 0 close parentheses end cell row blank equals cell 6 open parentheses 1 times 1 times 1 times 1 close parentheses end cell row blank equals 6 end table  

Jadi, hasil pemangkatan bilangan-bilangan tersebut adalah
(e) table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator 2 a to the power of 8 b to the power of 4 end fraction end cell end table; dan (f) table attributes columnalign right center left columnspacing 0px end attributes row blank blank 6 end table

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AminPresidenMenujuPerubahanIndonesia

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