Pertanyaan

⎝ ⎛ 1 3 2 3 ⎠ ⎞ 3 1 × ⎝ ⎛ 1 4 5 1 ⎠ ⎞ 3 4 ( 1 3 2 ) 4 1 × ( 1 4 5 ) 15 2 = ....

$\frac{( 1 3 ^{2} ) ^{\frac{1}{4}} \times ( 1 4 ^{5} ) ^{\frac{2}{15}}}{⎝ ⎛ 1 3 ^{\frac{3}{2}} ⎠ ⎞ ^{\frac{1}{3}} \times ⎝ ⎛ 1 4 ^{\frac{1}{5}} ⎠ ⎞ ^{\frac{4}{3}}} =$ ....

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Jawaban terverifikasi

Jawaban

hasil dari .

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: Perhatikan perhitungan berikut Dengan demikian hasil dari .

Ingat sifat bilangan berpangkat:

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