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Tentukan hasil dari : a. 5 3 b. ( 2 1 ​ ) 4 c. 3 − 3 d. − 2 4 e. ( − 2 ) 4

Tentukan hasil dari :

a. 
b. 
c. 
d.
e. 

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G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

hasil dari , , , dan .

hasil dari 5 cubed equals 125open parentheses 1 half close parentheses to the power of 4 equals 1 over 163 to the power of negative 3 end exponent equals 1 over 27negative 2 to the power of 4 equals negative 16 dan open parentheses negative 2 close parentheses to the power of 4 equals 16.

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Pembahasan

Ingat aturan pada perpangkatan, Maka, a. b. c. d. e. Jadi, hasil dari , , , dan .

Ingat aturan pada perpangkatan,

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a over b close parentheses to the power of n end cell equals cell a to the power of n over b to the power of n end cell row cell a to the power of negative n end exponent end cell equals cell 1 over a to the power of n end cell row cell negative a to the power of n end cell equals cell negative open parentheses a to the power of n close parentheses end cell end table

Maka,

a. 5 cubed

table attributes columnalign right center left columnspacing 0px end attributes row cell 5 cubed end cell equals cell 5 cross times 5 cross times 5 end cell row blank equals cell 125 cross times 5 end cell row blank equals 625 end table


b. open parentheses 1 half close parentheses to the power of 4

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 1 half close parentheses to the power of 4 end cell equals cell 1 to the power of 4 over 2 to the power of 4 end cell row blank equals cell fraction numerator 1 cross times 1 cross times 1 cross times 1 over denominator 2 cross times 2 cross times 2 cross times 2 end fraction end cell row blank equals cell 1 over 16 end cell end table


c. 3 to the power of negative 3 end exponent

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 to the power of negative 3 end exponent end cell equals cell 1 over 3 cubed end cell row blank equals cell fraction numerator 1 over denominator 3 cross times 3 cross times 3 end fraction end cell row blank equals cell fraction numerator 1 over denominator 9 cross times 3 end fraction end cell row blank equals cell 1 over 27 end cell end table


d.negative 2 to the power of 4

table attributes columnalign right center left columnspacing 0px end attributes row cell negative 2 to the power of 4 end cell equals cell negative open parentheses 2 to the power of 4 close parentheses end cell row blank equals cell negative open parentheses 2 cross times 2 cross times 2 cross times 2 close parentheses end cell row blank equals cell negative open parentheses 16 close parentheses end cell row blank equals cell negative 16 end cell end table


e. open parentheses negative 2 close parentheses to the power of 4

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses negative 2 close parentheses to the power of 4 end cell equals cell negative 2 cross times negative 2 cross times negative 2 cross times negative 2 end cell row blank equals cell 4 cross times negative 2 cross times negative 2 end cell row blank equals cell negative 8 cross times negative 2 end cell row blank equals 16 end table
 


Jadi, hasil dari 5 cubed equals 125open parentheses 1 half close parentheses to the power of 4 equals 1 over 163 to the power of negative 3 end exponent equals 1 over 27negative 2 to the power of 4 equals negative 16 dan open parentheses negative 2 close parentheses to the power of 4 equals 16.

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