Pertanyaan

Bila x = 3 dan y = 4 , maka nilai dari ⎝ ⎛ y 3 2 x 2 x 3 2 y − 3 4 ⎠ ⎞ − 4 3 sama dengan ....

Bila $x = 3$ dan $y = 4$ , maka nilai dari $⎝ ⎛ \frac{x ^{\frac{2}{3}} y ^{- \frac{4}{3}}}{y ^{\frac{2}{3}} x ^{2}} ⎠ ⎞^{- \frac{3}{4}}$ sama dengan ....

R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

Pembahasan

Diketahuo dan , maka Jadi, jawaban yang benar adalah D.

Diketahuo dan , maka

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator x to the power of begin display style 2 over 3 end style end exponent y to the power of negative begin display style 4 over 3 end style end exponent over denominator y to the power of begin display style 2 over 3 end style end exponent x squared end fraction close parentheses to the power of negative 3 over 4 end exponent end cell equals cell fraction numerator x to the power of begin display style 2 over 3 end style times open parentheses negative begin display style 3 over 4 end style close parentheses end exponent y to the power of negative begin display style 4 over 3 end style times open parentheses negative begin display style 3 over 4 end style close parentheses end exponent over denominator y to the power of begin display style 2 over 3 end style times open parentheses negative begin display style 3 over 4 end style close parentheses end exponent x to the power of 2 times open parentheses negative begin display style 3 over 4 end style close parentheses end exponent end fraction end cell row blank equals cell fraction numerator x to the power of negative begin display style 1 half end style end exponent y over denominator y to the power of negative begin display style 1 half end style end exponent x to the power of negative begin display style 3 over 2 end style end exponent end fraction end cell row blank equals cell x to the power of negative 1 half minus open parentheses negative 3 over 2 close parentheses end exponent y to the power of 1 minus open parentheses negative 1 half close parentheses end exponent end cell row blank equals cell x y to the power of 3 over 2 end exponent end cell row blank equals cell 3 times 4 to the power of 3 over 2 end exponent end cell row blank equals cell 3 times open parentheses 2 squared close parentheses to the power of 3 over 2 end exponent end cell row blank equals cell 3 times 8 end cell row blank equals 24 end table end style$

Jadi, jawaban yang benar adalah D.