Pertanyaan

Tentukan hasil operasi hitung bentuk aljabar berikut! ( − x 9 y 7 : x 3 y 4 ) : [ x 3 y 2 × ( − x 2 y ) ]

Tentukan hasil operasi hitung bentuk aljabar berikut!

$(- x^{9} y^{7} : x^{3} y^{4}) : [x^{3} y^{2} \times (- x^{2} y)]$

Y. Fathoni

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta.

Jawaban terverifikasi

Jawaban

diperoleh hasil operasi hitung bentuk aljabar adalah .

diperoleh hasil operasi hitung bentuk aljabar open parentheses negative x to the power of 9 y to the power of 7 space colon space x cubed y to the power of 4 close parentheses space colon space open square brackets x cubed y squared cross times open parentheses negative x squared y close parentheses close square brackets

open parentheses negative x to the power of 9 y to the power of 7 space colon space x cubed y to the power of 4 close parentheses space colon space open square brackets x cubed y squared cross times open parentheses negative x squared y close parentheses close square brackets

adalah

Pembahasan

Gunakan konsep pembagian dua bentuk aljabar dengan menggunakan faktor yang sama dan perkalian bentuk aljabar. Perhatikan perhitungan berikut. Jadi, diperoleh hasil operasi hitung bentuk aljabar adalah .

Gunakan konsep pembagian dua bentuk aljabar dengan menggunakan faktor yang sama dan perkalian bentuk aljabar.

Perhatikan perhitungan berikut.

$table attributes columnalign right center left columnspacing 2px end attributes row blank blank cell open parentheses negative x to the power of 9 y to the power of 7 space colon space x cubed y to the power of 4 close parentheses space colon space open square brackets x cubed y squared cross times open parentheses negative x squared y close parentheses close square brackets end cell row blank equals cell open parentheses fraction numerator negative x to the power of 9 y to the power of 7 over denominator x cubed y to the power of 4 end fraction close parentheses space colon space open square brackets x cubed y squared cross times open parentheses negative x squared y close parentheses close square brackets end cell row blank equals cell open square brackets open parentheses fraction numerator negative 1 over denominator 1 end fraction close parentheses open parentheses x to the power of 9 over x cubed close parentheses open parentheses y to the power of 7 over y to the power of 4 close parentheses close square brackets space colon space open square brackets open parentheses 1 cross times negative 1 close parentheses open parentheses x cubed cross times x squared close parentheses open parentheses y squared cross times y close parentheses close square brackets end cell row blank equals cell open square brackets open parentheses negative 1 close parentheses open parentheses x to the power of 6 close parentheses open parentheses y cubed close parentheses close square brackets space colon space open square brackets open parentheses negative 1 close parentheses open parentheses x to the power of 5 close parentheses open parentheses y cubed close parentheses close square brackets end cell row blank equals cell negative x to the power of 6 y cubed space colon space open parentheses negative x to the power of 5 y cubed close parentheses end cell row blank equals cell fraction numerator negative x to the power of 6 y cubed over denominator negative x to the power of 5 y cubed end fraction end cell row blank equals cell open parentheses fraction numerator negative 1 over denominator negative 1 end fraction close parentheses open parentheses x to the power of 6 over x to the power of 5 close parentheses open parentheses y cubed over y cubed close parentheses end cell row blank equals cell open parentheses 1 close parentheses open parentheses x close parentheses open parentheses 1 close parentheses end cell row blank equals x end table$

Jadi, diperoleh hasil operasi hitung bentuk aljabar open parentheses negative x to the power of 9 y to the power of 7 space colon space x cubed y to the power of 4 close parentheses space colon space open square brackets x cubed y squared cross times open parentheses negative x squared y close parentheses close square brackets adalah .