Pertanyaan

Bentuk sederhana dari ( 27 a − 1 b 2 c 2 9 a 2 b − 1 c 3 ) − 1 adalah ...

Bentuk sederhana dari $(\frac{9 a ^{2} b ^{- 1} c ^{3}}{27 a ^{- 1} b ^{2} c ^{2}})^{- 1}$ adalah ...

$begin mathsize 12px style fraction numerator 3 b cubed over denominator a cubed c end fraction end style$
$begin mathsize 12px style fraction numerator 3 b over denominator a c to the power of 5 end fraction end style$
$begin mathsize 12px style fraction numerator 3 b cubed over denominator a cubed c to the power of 5 end fraction end style$
$begin mathsize 12px style fraction numerator a cubed c over denominator 3 b cubed end fraction end style$
$begin mathsize 12px style fraction numerator a cubed c to the power of 5 over denominator 3 b cubed end fraction end style$

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

Pembahasan

Sifat-sifat bilangan berpangkat: dan Jadi

Sifat-sifat bilangan berpangkat:

$begin mathsize 12px style open parentheses fraction numerator 9 a squared b to the power of negative 1 end exponent c cubed over denominator 27 a to the power of negative 1 end exponent b squared c squared end fraction close parentheses to the power of negative 1 end exponent equals fraction numerator 27 a to the power of negative 1 end exponent b squared c squared over denominator 9 a squared b to the power of negative 1 end exponent c cubed end fraction equals fraction numerator 27 b to the power of 1 b squared c squared over denominator 9 a squared a to the power of 1 c cubed end fraction equals fraction numerator 27 b cubed c squared over denominator 9 a cubed c cubed end fraction equals fraction numerator 3 b cubed over denominator a cubed c end fraction end style$

Jadi $begin mathsize 12px style open parentheses fraction numerator 9 a squared b to the power of negative 1 end exponent c cubed over denominator 27 a to the power of negative 1 end exponent b squared c squared end fraction close parentheses to the power of negative 1 end exponent equals fraction numerator 3 b cubed over denominator a cubed c end fraction end style$