Pertanyaan

Diketahui a = 2 1 , b = 2 , dan c = 1 . Nilai dari a b 2 c − 1 a − 2 b c 3 adalah . . .

Diketahui $a = \frac{1}{2}$ , $b = 2$ , dan $c = 1$ . Nilai dari $\frac{a ^{- 2} b c ^{3}}{a b ^{2} c ^{- 1}}$ adalah . . .

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator a to the power of negative 2 end exponent b c cubed over denominator a b squared c to the power of negative 1 end exponent end fraction end cell equals cell a to the power of negative 2 end exponent over a times b over b squared times c cubed over c to the power of negative 1 end exponent end cell row cell space space space space space space space space space space space space space space space end cell equals cell a to the power of negative 2 minus 1 end exponent b to the power of 1 minus 2 end exponent c to the power of 3 minus open parentheses negative 1 close parentheses end exponent end cell row cell space space space space space space space space space space space space space space space end cell equals cell a to the power of negative 3 end exponent b to the power of negative 1 end exponent c to the power of 4 end cell row cell space space space space space space space space space space space space space space space end cell equals cell open parentheses 1 half close parentheses to the power of negative 3 end exponent left parenthesis 2 right parenthesis to the power of negative 1 end exponent left parenthesis 1 right parenthesis to the power of 4 end cell row cell space space space space space space space space space space space space space space space end cell equals cell left parenthesis 2 to the power of negative 1 end exponent right parenthesis to the power of negative 3 end exponent left parenthesis 2 right parenthesis to the power of negative 1 end exponent end cell row cell space space space space space space space space space space space space space space space end cell equals cell 2 cubed 2 to the power of negative 1 end exponent end cell row cell space space space space space space space space space space space space space space space end cell equals cell 2 to the power of 3 minus 1 end exponent end cell row cell space space space space space space space space space space space space space space space end cell equals cell 2 squared end cell row cell space space space space space space space space space space space space space space space end cell equals 4 end table end style$