Roboguru

Bentuk sederhana dari adalah ....

Bentuk sederhana dari begin mathsize 14px style fraction numerator open parentheses 3 to the power of begin display style 1 half end style end exponent space 2 to the power of begin display style 1 fourth end style end exponent space 5 to the power of begin display style 1 half end style end exponent close parentheses to the power of negative 4 end exponent over denominator 3 cubed space 2 squared space 5 to the power of negative 2 end exponent end fraction end style adalah ....

  1. begin mathsize 14px style fraction numerator 5 cubed over denominator 3 to the power of 5 space 2 cubed end fraction end style 

  2. begin mathsize 14px style fraction numerator 5 over denominator 3 to the power of 5 space 2 cubed end fraction end style 

  3. begin mathsize 14px style fraction numerator 5 to the power of negative 3 end exponent over denominator 3 to the power of negative 2 end exponent space 2 end fraction end style 

  4. begin mathsize 14px style fraction numerator 3 cubed over denominator 5 squared space 2 cubed end fraction end style 

  5. begin mathsize 14px style fraction numerator 3 over denominator 2 squared space 5 cubed end fraction end style 

Jawaban:

Dengan menerapkan sifat operasi pemangkatan dan pembagian bilangan berpangkat, diperoleh hasil perhitungan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses 3 to the power of begin display style 1 half end style end exponent space 2 to the power of begin display style 1 fourth end style end exponent space 5 to the power of begin display style 1 half end style end exponent close parentheses to the power of negative 4 end exponent over denominator 3 cubed space 2 squared space 5 to the power of negative 2 end exponent end fraction end cell equals cell fraction numerator 3 to the power of 1 half open parentheses negative 4 close parentheses end exponent space 2 to the power of 1 fourth open parentheses negative 4 close parentheses end exponent space 5 to the power of 1 half open parentheses negative 4 close parentheses end exponent over denominator 3 cubed space 2 squared space 5 to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator 3 to the power of negative 2 end exponent space 2 to the power of negative 1 end exponent space up diagonal strike 5 to the power of negative 2 end exponent end strike over denominator 3 cubed space 2 squared space up diagonal strike 5 to the power of negative 2 end exponent end strike end fraction end cell row blank equals cell 3 to the power of negative 2 minus 3 end exponent space 2 to the power of negative 1 minus 2 end exponent end cell row blank equals cell 3 to the power of negative 5 end exponent space 2 to the power of negative 3 end exponent end cell row blank equals cell 1 over 3 to the power of 5 cross times 1 over 2 cubed end cell row blank equals cell fraction numerator 1 over denominator 3 to the power of 5 space 2 cubed end fraction end cell end table end style 

Dengan demikian, bentuk sederhana dari begin mathsize 14px style fraction numerator open parentheses 3 to the power of begin display style 1 half end style end exponent space 2 to the power of begin display style 1 fourth end style end exponent space 5 to the power of begin display style 1 half end style end exponent close parentheses to the power of negative 4 end exponent over denominator 3 cubed space 2 squared space 5 to the power of negative 2 end exponent end fraction end styleadalah begin mathsize 14px style fraction numerator 1 over denominator 3 to the power of 5 space 2 cubed end fraction end style.

Jadi, tidak ada jawaban yang tepat.

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