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Sederhanakan perpangkatan berikut ini. g.  4727×67​

Pertanyaan

Sederhanakan perpangkatan berikut ini.

g.  begin mathsize 14px style fraction numerator 2 to the power of 7 cross times 6 to the power of 7 over denominator 4 to the power of 7 end fraction end style 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

  begin mathsize 14px style fraction numerator 2 to the power of 7 cross times 6 to the power of 7 over denominator 4 to the power of 7 end fraction equals 3 to the power of 7 end style .

Pembahasan

Untuk menyederhanakan soal tersebut gunakan sifat-sifat bilangan berpangkat sebagai berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a to the power of n close parentheses to the power of p end cell equals cell a to the power of n times p end exponent end cell row cell a to the power of p over a to the power of q end cell equals cell a to the power of p minus q end exponent end cell row cell open parentheses a cross times b close parentheses to the power of p end cell equals cell a to the power of p cross times b to the power of p end cell row cell a to the power of p cross times a to the power of q end cell equals cell a to the power of p plus q end exponent end cell row blank blank blank end table end style     

sehingga:

  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 to the power of 7 cross times 6 to the power of 7 over denominator 4 to the power of 7 end fraction end cell equals cell fraction numerator 2 to the power of 7 cross times 6 to the power of 7 over denominator open parentheses 2 squared close parentheses to the power of 7 end fraction end cell row blank equals cell fraction numerator 2 to the power of 7 cross times 6 to the power of 7 over denominator 2 to the power of 14 end fraction end cell row blank equals cell 2 to the power of 7 minus 14 end exponent cross times 6 to the power of 7 end cell row blank equals cell 2 to the power of negative 7 end exponent cross times 6 to the power of 7 end cell row blank equals cell 2 to the power of negative 7 end exponent cross times open parentheses 2 cross times 3 close parentheses to the power of 7 end cell row blank equals cell 2 to the power of negative 7 end exponent cross times 2 to the power of 7 cross times 3 to the power of 7 end cell row blank equals cell 2 to the power of negative 7 plus 7 end exponent cross times 3 to the power of 7 end cell row blank equals cell 2 to the power of 0 cross times 3 to the power of 7 end cell row blank equals cell 1 cross times 3 to the power of 7 end cell row blank equals cell 3 to the power of 7 end cell end table end style

Dengan demikian  begin mathsize 14px style fraction numerator 2 to the power of 7 cross times 6 to the power of 7 over denominator 4 to the power of 7 end fraction equals 3 to the power of 7 end style .

283

5.0 (14 rating)

Sheila tegar

Pembahasan lengkap banget dan Mudah dimengerti

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Sederhanakan perpangkatan berikut ini. i. 253×83106×42​

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