Pertanyaan

Bentuk sederhana dari 8 a 2 b 6 c 5 16 a 9 b 2 c 4 = ....

Bentuk sederhana dari $\frac{16 a ^{9} b ^{2} c ^{4}}{8 a ^{2} b ^{6} c ^{5}} =$ ....

$fraction numerator 2 b to the power of 4 c over denominator a to the power of 7 end fraction$
$fraction numerator 2 a to the power of 4 over denominator b to the power of 7 c end fraction$
$fraction numerator 2 a to the power of 7 c over denominator b to the power of 4 end fraction$
$fraction numerator 2 a to the power of 7 over denominator b to the power of 4 c end fraction$

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F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

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Pembahasan

Gunakan sifat-sifat perpangkatan, yaitu :

$a to the power of p over a to the power of q equals a to the power of p minus q end exponent a to the power of negative p end exponent equals 1 over a to the power of p fraction numerator 16 a to the power of 9 b squared c to the power of 4 over denominator 8 a squared b to the power of 6 c to the power of 5 end fraction equals 2 a to the power of 9 minus 2 end exponent b to the power of 2 minus 6 end exponent c to the power of 4 minus 5 end exponent equals 2 a to the power of 7 b to the power of negative 4 end exponent c to the power of negative 1 end exponent equals fraction numerator 2 a to the power of 7 over denominator b to the power of 4 c end fraction$