Roboguru

Hasil dari adalah ....

Pertanyaan

Hasil darispace 8 to the power of 1 third end exponent plus 9 to the power of negative 1 half end exponent cross times 2 to the power of negative 1 end exponent adalah ....

  1. 1 1 over 6 space 

  2. 1 1 third space 

  3. 2 1 over 6 space  

  4. 2 2 over 3 space 

Pembahasan Soal:

Bilangan berpangkat.

Gunakan konsep bilangan berpangkat negatif dan pecahan.

table attributes columnalign right center left columnspacing 2px end attributes 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 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 end table

Perhatikan perhitungan berikut.

table attributes columnalign right center left columnspacing 2px end attributes row cell 8 to the power of 1 third end exponent plus 9 to the power of negative 1 half end exponent cross times 2 to the power of negative 1 end exponent end cell equals cell cube root of 8 plus fraction numerator 1 over denominator square root of 9 end fraction cross times 1 half end cell row blank equals cell 2 plus 1 third cross times 1 half end cell row blank equals cell 2 plus 1 over 6 end cell row cell 8 to the power of 1 third end exponent plus 9 to the power of negative 1 half end exponent cross times 2 to the power of negative 1 end exponent end cell equals cell 2 1 over 6 end cell end table

Diperoleh hasilnya adalah 8 to the power of 1 third end exponent plus 9 to the power of negative 1 half end exponent cross times 2 to the power of negative 1 end exponent equals 2 1 over 6.

Jadi, jawaban yang tepat adalah C.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 27 April 2021

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