Pertanyaan

Tentukan bentuk sederhana dari : d. 10 n 3 o 2 4 m 3 n − 7 × 2 m 5 n 4 o 3 3 n 2 o 8

Tentukan bentuk sederhana dari :

d. $\frac{4 m ^{3} n ^{- 7}}{10 n ^{3} o ^{2}} \times \frac{3 n ^{2} o ^{8}}{2 m ^{5} n ^{4} o ^{3}}$

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Jawaban terverifikasi

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bentuk sederhana dari adalah

bentuk sederhana dari $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 m cubed n to the power of negative 7 end exponent over denominator 10 n cubed o squared end fraction cross times fraction numerator 3 n squared o to the power of 8 over denominator 2 m to the power of 5 n to the power of 4 o cubed end fraction end cell end table$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 o cubed over denominator 5 m squared n to the power of 12 end fraction end cell end table$

Pembahasan

Sebelum mengerjakan soal tersebut, mari kita mengingat kembali sifat-sifat bilangan berpangkat. Sehingga bentuk sederhananya, Jadi bentuk sederhana dari adalah

Sebelum mengerjakan soal tersebut, mari kita mengingat kembali sifat-sifat bilangan berpangkat.

a to the power of m space x space a to the power of n space equals space a to the power of m plus n end exponent a to the power of m over a to the power of n equals a to the power of m minus n end exponent

Sehingga bentuk sederhananya,

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 4 m cubed n to the power of negative 7 end exponent over denominator 10 n cubed o squared end fraction cross times fraction numerator 3 n squared o to the power of 8 over denominator 2 m to the power of 5 n to the power of 4 o cubed end fraction end cell equals cell 12 over 20 times m to the power of 3 minus 5 end exponent n to the power of negative 7 plus 2 minus 3 minus 4 end exponent o to the power of 8 minus 2 minus 3 end exponent end cell row blank equals cell fraction numerator 3 o cubed over denominator 5 m squared n to the power of 12 end fraction end cell end table$

Jadi bentuk sederhana dari $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 m cubed n to the power of negative 7 end exponent over denominator 10 n cubed o squared end fraction cross times fraction numerator 3 n squared o to the power of 8 over denominator 2 m to the power of 5 n to the power of 4 o cubed end fraction end cell end table$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 o cubed over denominator 5 m squared n to the power of 12 end fraction end cell end table$