Sederhanakanlah. d. (a0 c−6a−4 b3 c−1​)−3

Pertanyaan

Sederhanakanlah.

d. open parentheses fraction numerator a to the power of negative 4 end exponent space b cubed space c to the power of negative 1 end exponent over denominator a to the power of 0 space c to the power of negative 6 end exponent end fraction close parentheses to the power of negative 3 end exponent

Y. Fathoni

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta.

Jawaban terverifikasi

Jawaban

diperoleh bentuk sederhananya adalah open parentheses fraction numerator a to the power of negative 4 end exponent space b cubed space c to the power of negative 1 end exponent over denominator a to the power of 0 space c to the power of negative 6 end exponent end fraction close parentheses to the power of negative 3 end exponent equals fraction numerator a to the power of 12 over denominator b to the power of 9 c to the power of 15 end fraction.

Pembahasan

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 open parentheses a cross times b close parentheses to the power of m end cell equals cell a to the power of m cross times b to the power of m end cell row cell open parentheses a over b close parentheses to the power of m end cell equals cell a to the power of m over b to the power of m end cell row cell a to the power of 0 end cell equals 1 row cell open parentheses a to the power of m close parentheses to the power of n end cell equals cell a to the power of m cross times n end exponent end cell end table

Akan ditentukan bentuk sederhana dari open parentheses fraction numerator a to the power of negative 4 end exponent space b cubed space c to the power of negative 1 end exponent over denominator a to the power of 0 space c to the power of negative 6 end exponent end fraction close parentheses to the power of negative 3 end exponent.

table attributes columnalign right center left columnspacing 2px end attributes row cell open parentheses fraction numerator a to the power of negative 4 end exponent space b cubed space c to the power of negative 1 end exponent over denominator a to the power of 0 space c to the power of negative 6 end exponent end fraction close parentheses to the power of negative 3 end exponent end cell equals cell open parentheses a to the power of negative 4 end exponent space b cubed space c to the power of negative 1 end exponent close parentheses to the power of negative 3 end exponent over open parentheses a to the power of 0 space c to the power of negative 6 end exponent close parentheses to the power of negative 3 end exponent end cell row blank equals cell fraction numerator open parentheses a to the power of negative 4 end exponent close parentheses to the power of negative 3 end exponent space open parentheses b cubed close parentheses to the power of negative 3 end exponent space open parentheses c to the power of negative 1 end exponent close parentheses to the power of negative 3 end exponent over denominator open parentheses a to the power of 0 close parentheses to the power of negative 3 end exponent space open parentheses c to the power of negative 6 end exponent close parentheses to the power of negative 3 end exponent end fraction end cell row blank equals cell fraction numerator a to the power of negative 4 cross times open parentheses negative 3 close parentheses end exponent b to the power of 3 cross times open parentheses negative 3 close parentheses end exponent c to the power of negative 1 cross times open parentheses negative 3 close parentheses end exponent over denominator a to the power of 0 cross times open parentheses negative 3 close parentheses end exponent c to the power of negative 6 cross times open parentheses negative 3 close parentheses end exponent end fraction end cell row blank equals cell fraction numerator a to the power of 12 b to the power of negative 9 end exponent c cubed over denominator a to the power of 0 c to the power of 18 end fraction end cell row blank equals cell a to the power of 12 over a to the power of 0 times b to the power of negative 9 end exponent times c cubed over c to the power of 18 end cell row blank equals cell a to the power of 12 over 1 times 1 over b to the power of 9 times c to the power of 3 minus 18 end exponent end cell row blank equals cell a to the power of 12 times 1 over b to the power of 9 times c to the power of negative 15 end exponent end cell row blank equals cell a to the power of 12 times 1 over b to the power of 9 times 1 over c to the power of 15 end cell row blank equals cell fraction numerator a to the power of 12 over denominator b to the power of 9 c to the power of 15 end fraction end cell end table

Jadi, diperoleh bentuk sederhananya adalah open parentheses fraction numerator a to the power of negative 4 end exponent space b cubed space c to the power of negative 1 end exponent over denominator a to the power of 0 space c to the power of negative 6 end exponent end fraction close parentheses to the power of negative 3 end exponent equals fraction numerator a to the power of 12 over denominator b to the power of 9 c to the power of 15 end fraction.

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