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⎝⎛​1323​⎠⎞​31​×⎝⎛​1451​⎠⎞​34​(132)41​×(145)152​​​=​​ ....

Pertanyaan

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses 13 squared close parentheses to the power of begin display style 1 fourth end style end exponent cross times open parentheses 14 to the power of 5 close parentheses to the power of begin display style 2 over 15 end style end exponent over denominator open parentheses 13 to the power of begin display style 3 over 2 end style end exponent close parentheses to the power of begin display style 1 third end style end exponent cross times open parentheses 14 to the power of begin display style 1 fifth end style end exponent close parentheses to the power of begin display style 4 over 3 end style end exponent end fraction end cell equals blank end table ....

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

hasil dari table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses 13 squared close parentheses to the power of begin display style 1 fourth end style end exponent cross times open parentheses 14 to the power of 5 close parentheses to the power of begin display style 2 over 15 end style end exponent over denominator open parentheses 13 to the power of begin display style 3 over 2 end style end exponent close parentheses to the power of begin display style 1 third end style end exponent cross times open parentheses 14 to the power of begin display style 1 fifth end style end exponent close parentheses to the power of begin display style 4 over 3 end style end exponent end fraction end cell equals cell 14 to the power of 2 over 5 end exponent end cell end table .

Pembahasan

Ingat sifat bilangan berpangkat:

  • a to the power of n over a to the power of m equals a to the power of n minus m end exponent
  • open parentheses a to the power of n close parentheses to the power of m equals a to the power of n cross times m end exponent

Perhatikan perhitungan berikut

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses 13 squared close parentheses to the power of begin display style 1 fourth end style end exponent cross times open parentheses 14 to the power of 5 close parentheses to the power of begin display style 2 over 15 end style end exponent over denominator open parentheses 13 to the power of begin display style 3 over 2 end style end exponent close parentheses to the power of begin display style 1 third end style end exponent cross times open parentheses 14 to the power of begin display style 1 fifth end style end exponent close parentheses to the power of begin display style 4 over 3 end style end exponent end fraction end cell equals cell fraction numerator 13 to the power of begin display style 2 cross times 1 fourth end style end exponent cross times 14 to the power of begin display style 5 cross times 2 over 15 end style end exponent over denominator 13 to the power of begin display style 3 over 2 cross times 1 third end style end exponent cross times 14 to the power of begin display style 1 fifth cross times 4 over 3 end style end exponent end fraction end cell row blank equals cell fraction numerator 13 to the power of begin display style 1 half end style end exponent cross times 14 to the power of begin display style 2 over 3 end style end exponent over denominator 13 to the power of begin display style 1 half end style end exponent cross times 14 to the power of begin display style 4 over 15 end style end exponent end fraction end cell row blank equals cell 13 to the power of 1 half minus 1 half end exponent cross times 14 to the power of 2 over 3 minus 4 over 15 end exponent end cell row blank equals cell 13 to the power of 0 cross times 14 to the power of fraction numerator 10 minus 4 over denominator 15 end fraction end exponent end cell row blank equals cell 1 cross times 14 to the power of 6 over 15 end exponent end cell row blank equals cell 14 to the power of 2 over 5 end exponent end cell end table

Dengan demikian hasil dari table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses 13 squared close parentheses to the power of begin display style 1 fourth end style end exponent cross times open parentheses 14 to the power of 5 close parentheses to the power of begin display style 2 over 15 end style end exponent over denominator open parentheses 13 to the power of begin display style 3 over 2 end style end exponent close parentheses to the power of begin display style 1 third end style end exponent cross times open parentheses 14 to the power of begin display style 1 fifth end style end exponent close parentheses to the power of begin display style 4 over 3 end style end exponent end fraction end cell equals cell 14 to the power of 2 over 5 end exponent end cell end table .

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