Pertanyaan

Sederhanakanlah. c. 9 a 3 b − 5 c 3 6 a − 4 b 3 c 0

Sederhanakanlah.

c. $\frac{6 a ^{- 4} b ^{3} c ^{0}}{9 a ^{3} b ^{- 5} c ^{3}}$

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Y. Fathoni

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta.

Jawaban terverifikasi

Jawaban

diperoleh bentuk sederhananya adalah .

diperoleh bentuk sederhananya adalah $fraction numerator 6 a to the power of negative 4 end exponent space b cubed space c to the power of 0 over denominator 9 a cubed space b to the power of negative 5 end exponent space c cubed end fraction equals fraction numerator 2 b to the power of 8 over denominator 3 a to the power of 7 c cubed end fraction$ .

Pembahasan

Ingat kembali konsep bilangan berpangkat. Akan ditentukan bentuk sederhana dari . Jadi, diperoleh bentuk sederhananya adalah .

Ingat kembali konsep bilangan berpangkat.

table attributes columnalign right center left columnspacing 2px 2px 2px end attributes row cell a to the power of m over a to the power of n end cell equals cell a to the power of m minus n end exponent end cell row cell a to the power of negative n end exponent end cell equals cell 1 over a to the power of n end cell row cell a to the power of 0 end cell equals 1 end table

Akan ditentukan bentuk sederhana dari $fraction numerator 6 a to the power of negative 4 end exponent space b cubed space c to the power of 0 over denominator 9 a cubed space b to the power of negative 5 end exponent space c cubed end fraction$ .

$table attributes columnalign right center left columnspacing 2px end attributes row cell fraction numerator 6 a to the power of negative 4 end exponent space b cubed space c to the power of 0 over denominator 9 a cubed space b to the power of negative 5 end exponent space c cubed end fraction end cell equals cell 6 over 9 times a to the power of negative 4 end exponent over a cubed times b cubed over b to the power of negative 5 end exponent times c to the power of 0 over c cubed end cell row blank equals cell 2 over 3 times a to the power of negative 4 minus 3 end exponent times b to the power of 3 minus open parentheses negative 5 close parentheses end exponent times 1 over c cubed end cell row blank equals cell 2 over 3 times a to the power of negative 7 end exponent times b to the power of 8 times 1 over c cubed end cell row blank equals cell 2 over 3 times 1 over a to the power of 7 times b to the power of 8 times 1 over c cubed end cell row blank equals cell fraction numerator 2 b to the power of 8 over denominator 3 a to the power of 7 c cubed end fraction end cell end table$

Jadi, diperoleh bentuk sederhananya adalah $fraction numerator 6 a to the power of negative 4 end exponent space b cubed space c to the power of 0 over denominator 9 a cubed space b to the power of negative 5 end exponent space c cubed end fraction equals fraction numerator 2 b to the power of 8 over denominator 3 a to the power of 7 c cubed end fraction$ .