Pertanyaan

Bentuk sederhana dari 24 p 9 q 2 r 7 8 p 2 q 6 r 5 = ....

$Bentuk sederhana dari \frac{8 p ^{2} q ^{6} r ^{5}}{24 p ^{9} q ^{2} r ^{7}} = ....$

$fraction numerator q cubed over denominator 3 p to the power of 8 q squared r to the power of 7 end fraction$
$fraction numerator q to the power of 4 over denominator 3 p to the power of 7 r squared end fraction$
$fraction numerator q cubed over denominator 3 p to the power of 7 r squared end fraction$
$fraction numerator q to the power of 4 over denominator 3 p to the power of 7 r end fraction$
$fraction numerator 3 q to the power of 4 over denominator p to the power of 7 r squared end fraction$

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

$Gunakan space sifat minus sifat space perpangkatan space yaitu space colon straight a to the power of straight p over straight a to the power of straight q equals straight a to the power of straight p minus straight q end exponent straight a to the power of negative straight p end exponent equals 1 over straight a to the power of straight p Maka space colon thin space equals fraction numerator 8 straight p squared straight q to the power of 6 straight r to the power of 5 over denominator 24 straight p to the power of 9 straight q squared straight r to the power of 7 end fraction equals 1 third straight p to the power of 2 minus 9 end exponent straight q to the power of 6 minus 2 end exponent straight r to the power of 5 minus 7 end exponent equals 1 third straight p to the power of negative 7 end exponent straight q to the power of 4 straight r to the power of negative 2 end exponent equals fraction numerator straight q to the power of 4 over denominator 3 straight p to the power of 7 straight r squared end fraction$