Pertanyaan

Tentukan hasil dari: ( p 2 q 5 × p 3 r 4 ) : p q 4 r 2

Tentukan hasil dari:

$(p^{2} q^{5} \times p^{3} r^{4}) : p q^{4} r^{2}$

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Jawaban terverifikasi

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hasil dari adalah

hasil dari open parentheses p squared q to the power of 5 cross times p cubed r to the power of 4 close parentheses space colon space p q to the power of 4 r squared

open parentheses p squared q to the power of 5 cross times p cubed r to the power of 4 close parentheses space colon space p q to the power of 4 r squared

adalah

Error converting from MathML to accessible text.

Pembahasan

Ingat kembali sifat bilangan berpangkat berikut: Hasil dari dapat ditentukan dengan cara: Jadi, hasil dari adalah

Ingat kembali sifat bilangan berpangkat berikut:

a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent a to the power of m space colon space a to the power of n equals a to the power of m over a to the power of n equals a to the power of m minus n end exponent

Hasil dari open parentheses p squared q to the power of 5 cross times p cubed r to the power of 4 close parentheses space colon space p q to the power of 4 r squared dapat ditentukan dengan cara:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses p squared q to the power of 5 cross times p cubed r to the power of 4 close parentheses space colon space p q to the power of 4 r squared end cell equals cell fraction numerator p squared q to the power of 5 cross times p cubed r to the power of 4 over denominator space p q to the power of 4 r squared end fraction end cell row blank equals cell fraction numerator p to the power of 2 plus 3 end exponent cross times q to the power of 5 cross times r to the power of 4 over denominator p q to the power of 4 r squared end fraction end cell row blank equals cell fraction numerator p to the power of 5 cross times q to the power of 5 cross times r to the power of 4 over denominator p q to the power of 4 r squared end fraction end cell row blank equals cell p to the power of 5 minus 1 end exponent cross times q to the power of 5 minus 4 end exponent cross times r to the power of 4 minus 2 end exponent end cell row blank equals cell p to the power of 4 q r squared end cell end table$

Jadi, hasil dari open parentheses p squared q to the power of 5 cross times p cubed r to the power of 4 close parentheses space colon space p q to the power of 4 r squared adalah Error converting from MathML to accessible text.