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Bentuk pangkat positif dari fraction numerator 3 p to the power of negative 2 end exponent over denominator q to the power of negative 3 end exponent end fraction cross times 6 cross times 2 to the power of negative 3 end exponent adalah ....

  1. fraction numerator 3 q cubed over denominator 2 p squared end fraction 

  2. fraction numerator 9 q cubed over denominator 4 p squared end fraction 

  3. fraction numerator 9 p cubed over denominator 2 p squared end fraction 

  4. fraction numerator 6 q squared over denominator p cubed end fraction 

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

Ingat kembali sifat bilangan berpangkat negatif:

a to the power of negative m end exponent equals 1 over a to the power of m dengan a not equal to 0  

Dengan demikian, 

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 p to the power of negative 2 end exponent over denominator q to the power of negative 3 end exponent end fraction cross times 6 cross times 2 to the power of negative 3 end exponent end cell row blank equals cell fraction numerator 3 open parentheses begin display style 1 over p squared end style close parentheses over denominator open parentheses begin display style 1 over q cubed end style close parentheses end fraction cross times 6 cross times open parentheses 1 over 2 cubed close parentheses end cell row blank equals cell fraction numerator begin display style 3 over p squared end style over denominator begin display style 1 over q cubed end style end fraction cross times 6 cross times 1 over 2 cubed end cell row blank equals cell 3 over p squared cross times fraction numerator 1 over denominator begin display style 1 over q cubed end style end fraction cross times 6 cross times 1 over 2 cubed end cell row blank equals cell 3 over p squared cross times q cubed cross times 6 cross times 1 over 2 cubed end cell row blank equals cell 3 over p squared cross times q cubed cross times up diagonal strike 6 cubed cross times 1 over up diagonal strike 8 to the power of 4 end cell row blank equals cell fraction numerator 3 cross times q cubed cross times 3 cross times 1 over denominator p squared cross times 4 end fraction end cell row blank equals cell fraction numerator 9 cross times q cubed over denominator 4 cross times p squared end fraction end cell end table   

Jadi, bentuk pangkat positif dari fraction numerator 3 p to the power of negative 2 end exponent over denominator q to the power of negative 3 end exponent end fraction cross times 6 cross times 2 to the power of negative 3 end exponent adalah fraction numerator 9 q cubed over denominator 4 p squared end fraction.

Oleh karena itu, jawaban yang benar adalah B.space 

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