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Pertanyaan

Jika a = 9 , b = 64 , dan c = 7 , maka nilai dari a 2 1 ​ b − 3 1 ​ c 3 2 ​ a b 2 1 ​ c − 3 1 ​ ​ adalah ....

Jika   dan  maka nilai dari  adalah ....

  1. begin mathsize 14px style 96 over 3 end style 

  2. size 14px 96 over size 14px 5 

  3. size 14px 96 over size 14px 7 

  4. size 14px 96 over size 14px 9 

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N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

jawaban yang tepat adalah C.

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Pembahasan

Perhatikan perhitungan berikut! Jadi, jawaban yang tepat adalah C.

Perhatikan perhitungan berikut!

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator a b to the power of begin display style 1 half end style end exponent c to the power of negative begin display style 1 third end style end exponent over denominator a to the power of begin display style 1 half end style end exponent b to the power of negative begin display style 1 third end style end exponent c to the power of begin display style 2 over 3 end style end exponent end fraction end cell equals cell fraction numerator a b to the power of begin display style 1 half end style end exponent b to the power of begin display style 1 third end style end exponent over denominator a to the power of begin display style 1 half end style end exponent c to the power of begin display style 1 third end style end exponent c to the power of begin display style 2 over 3 end style end exponent end fraction end cell row blank equals cell fraction numerator a to the power of 1 minus 1 half end exponent b to the power of begin display style 1 half plus 1 third end style end exponent over denominator c to the power of begin display style 1 third plus 2 over 3 end style end exponent end fraction end cell row blank equals cell fraction numerator a to the power of begin display style 1 half end style end exponent b to the power of begin display style 5 over 6 end style end exponent over denominator c to the power of 1 end fraction end cell row blank equals cell fraction numerator left parenthesis 9 right parenthesis to the power of begin display style 1 half end style end exponent left parenthesis 64 right parenthesis to the power of begin display style 5 over 6 end style end exponent over denominator blank end fraction end cell row blank equals cell fraction numerator left parenthesis 3 squared right parenthesis to the power of begin display style 1 half end style end exponent left parenthesis 2 to the power of 6 right parenthesis to the power of begin display style 5 over 6 end style end exponent over denominator 7 end fraction end cell row blank equals cell fraction numerator 3 to the power of begin display style 2 open parentheses 1 half close parentheses end style end exponent times 2 to the power of 6 begin display style open parentheses 5 over 6 close parentheses end style end exponent over denominator 7 end fraction end cell row blank equals cell fraction numerator 3 to the power of 1 times 2 to the power of 5 over denominator 7 end fraction end cell row blank equals cell fraction numerator 3.32 over denominator 7 end fraction end cell row blank equals cell 96 over 7 end cell end table end style 

Jadi, jawaban yang tepat adalah C.

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