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 $a = 9,$ $b = 64,$ dan $c = 7,$ maka nilai dari $\frac{a b ^{\frac{1}{2}} c ^{- \frac{1}{3}}}{a ^{\frac{1}{2}} b ^{- \frac{1}{3}} c ^{\frac{2}{3}}}$ adalah ....

N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

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.