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8 ​ × 8 4 1 ​ × ( 2 4 1 ​ ) 3 − 32 ​ × 2 ​ = ... .

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  1. 0 

  2. 20

  3. 21

  4. 23

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E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

jawaban yang tepat adalah A.

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Pembahasan

Ingat kembali konsep bilangan berpangkat dan bentuk akar. Akan ditentukan hasil dari . Diperoleh . Jadi, jawaban yang tepat adalah A.

Ingat kembali konsep bilangan berpangkat dan bentuk akar.

table attributes columnalign right center left columnspacing 2px end attributes row cell a to the power of n end cell equals cell stack stack a cross times a cross times... cross times a with underbrace below with n space faktor below end cell row cell a to the power of 1 end cell equals a row cell open parentheses a to the power of b close parentheses to the power of c end cell equals cell a to the power of b cross times c end exponent end cell row cell a to the power of m over n end exponent end cell equals cell n-th root of a to the power of m end root end cell 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 square root of a cross times square root of b end cell equals cell square root of a b end root end cell end table

Akan ditentukan hasil dari square root of 8 cross times 8 to the power of 1 fourth end exponent cross times open parentheses 2 to the power of 1 fourth end exponent close parentheses cubed minus square root of 32 cross times square root of 2.

begin mathsize 12px style table attributes columnalign right center left columnspacing 2px end attributes row cell square root of 8 cross times 8 to the power of 1 fourth end exponent cross times open parentheses 2 to the power of 1 fourth end exponent close parentheses cubed minus square root of 32 cross times square root of 2 end cell equals cell 8 to the power of 1 half end exponent cross times 8 to the power of 1 fourth end exponent cross times open parentheses 2 cubed close parentheses to the power of 1 fourth end exponent minus square root of 32 cross times 2 end root end cell row blank equals cell 8 to the power of 1 half end exponent cross times 8 to the power of 1 fourth end exponent cross times 8 to the power of 1 fourth end exponent minus square root of 64 end cell row blank equals cell 8 to the power of 1 half plus 1 fourth plus 1 fourth end exponent minus 8 end cell row blank equals cell 8 to the power of fraction numerator 2 plus 1 plus 1 over denominator 4 end fraction end exponent minus 8 end cell row blank equals cell 8 to the power of 4 over 4 end exponent minus 8 end cell row blank equals cell 8 to the power of 1 minus 8 end cell row blank equals cell 8 minus 8 end cell row blank equals 0 end table end style

Diperoleh square root of 8 cross times 8 to the power of 1 fourth end exponent cross times open parentheses 2 to the power of 1 fourth end exponent close parentheses cubed minus square root of 32 cross times square root of 2 equals 0.

Jadi, jawaban yang tepat adalah A.

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