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Hasil dari  adalah...

Pertanyaan

Hasil dari fraction numerator 5 squared plus 5 to the power of negative 2 end exponent over denominator 5 squared minus 5 to the power of negative 2 end exponent end fraction adalah...

  1. 23 over 22 

  2. 13 over 12 

  3. 626 over 625 

  4. 313 over 312 

Pembahasan Soal:

Ingatlah sifat bilangan berpangkat negatif yaitu:

straight a to the power of negative straight m end exponent equals 1 over straight a to the power of straight m.

Berdasarkan sifat di atas, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 5 squared plus 5 to the power of negative 2 end exponent over denominator 5 squared minus 5 to the power of negative 2 end exponent end fraction end cell equals cell fraction numerator 5 squared plus begin display style 1 over 5 squared end style over denominator 5 squared minus begin display style 1 over 5 squared end style end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 5 to the power of 4 plus 1 over denominator 5 squared end fraction end style over denominator begin display style fraction numerator 5 to the power of 4 minus 1 over denominator 5 squared end fraction end style end fraction end cell row blank equals cell fraction numerator 5 to the power of 4 plus 1 over denominator 5 to the power of 4 minus 1 end fraction end cell row blank equals cell fraction numerator 625 plus 1 over denominator 625 minus 1 end fraction end cell row blank equals cell 626 over 624 end cell row blank equals cell 313 over 312. end cell end table

Dengan demikian, jawaban yang benar adalah D.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 18 Mei 2021

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