Pertanyaan

Sederhanakanlah: b. z 3 x 2 ⋅ y 2 : z 2 x 3 ⋅ y

Sederhanakanlah:

b. $\frac{x ^{2} \cdot y ^{2}}{z ^{3}} : \frac{x ^{3} \cdot y}{z ^{2}}$

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Klaim

R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

hasil dari adalah .

hasil dari $fraction numerator x squared times y squared over denominator z cubed end fraction colon fraction numerator x cubed times y over denominator z squared end fraction$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator y over denominator x times z end fraction end cell end table$ .

Pembahasan

Ingat kembali: sehingga diperoleh perhitungan: Jadi, hasil dari adalah .

Ingat kembali:

a to the power of m over a to the power of n equals a to the power of m minus n end exponent comma space a not equal to 0

1 over a to the power of n equals a to the power of negative n end exponent comma space a not equal to 0

a over b colon c over d equals a over b cross times d over c

sehingga diperoleh perhitungan:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator x squared times y squared over denominator z cubed end fraction colon fraction numerator x cubed times y over denominator z squared end fraction end cell equals cell fraction numerator x squared times y squared over denominator z cubed end fraction cross times fraction numerator z squared over denominator x cubed times y end fraction end cell row blank equals cell fraction numerator x squared times y squared times z squared over denominator x cubed times y times z cubed end fraction end cell row blank equals cell x to the power of 2 minus 3 end exponent times y to the power of 2 minus 1 end exponent times z to the power of 2 minus 3 end exponent end cell row blank equals cell x to the power of negative 1 end exponent times y to the power of 1 times z to the power of negative 1 end exponent end cell row blank equals cell fraction numerator y over denominator x times z end fraction end cell end table$

Jadi, hasil dari $fraction numerator x squared times y squared over denominator z cubed end fraction colon fraction numerator x cubed times y over denominator z squared end fraction$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator y over denominator x times z end fraction end cell end table$ .