Pertanyaan

Diketahui p  = 0, q 0, dan r 0. Bentuk sederhana dari ( 64 p − 6 q r 8 p − 9 q − 2 r 4 ) − 1 adalah .....

Diketahui p $\neq =$ 0, q0, dan r0. Bentuk sederhana dari $(\frac{8 p ^{- 9} q ^{- 2} r ^{4}}{64 p ^{- 6} q r})^{- 1}$ adalah .....

2 p q r
(3 p q r)²
(2 p q r)²

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style open parentheses fraction numerator 8 p to the power of negative 9 end exponent q to the power of negative 2 end exponent r to the power of 4 over denominator 64 p to the power of negative 6 end exponent q r end fraction close parentheses to the power of negative 1 end exponent equals fraction numerator 64 p to the power of negative 6 end exponent q r over denominator 8 p to the power of negative 9 end exponent q to the power of negative 2 end exponent r to the power of 4 end fraction equals fraction numerator 8 p to the power of negative 6 end exponent p to the power of 9 q to the power of 1 q squared over denominator r to the power of 4 r to the power of negative 1 end exponent end fraction equals fraction numerator 8 p to the power of negative 6 plus 9 end exponent q to the power of 1 plus 2 end exponent over denominator r to the power of 4 minus 1 end exponent end fraction equals fraction numerator 2 cubed p cubed q cubed over denominator r cubed end fraction equals open parentheses 2 p q r to the power of negative 1 end exponent close parentheses cubed end style$