Pertanyaan

[UN 2014] Bentuk sederhana dari ( a b − 4 c 2 a 3 b − 2 c ) − 1 = ..

[UN 2014]

Bentuk sederhana dari $(\frac{a ^{3} b ^{- 2} c}{a b ^{- 4} c ^{2}})^{- 1} = ..$

$fraction numerator b squared c squared over denominator a squared end fraction$
$fraction numerator b over denominator a squared c end fraction$
$fraction numerator c over denominator a squared b squared end fraction$

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Habis dalam

Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$open parentheses fraction numerator a cubed b to the power of negative 2 end exponent c over denominator a b to the power of negative 4 end exponent c squared end fraction close parentheses to the power of negative 1 end exponent equals fraction numerator a b to the power of negative 4 end exponent c squared over denominator a cubed b to the power of negative 2 end exponent c end fraction equals a to the power of 1 minus 3 end exponent b to the power of negative 4 minus left parenthesis negative 2 right parenthesis end exponent c to the power of 2 minus 1 end exponent equals a to the power of negative 2 end exponent b to the power of negative 2 end exponent c equals fraction numerator c over denominator a squared b squared end fraction$