Pertanyaan

Tentukan hasil operasi hitung bentuk aljabar berikut! a 10 b 8 : [ − a 3 b 5 × ( − a 7 b 3 ) ]

Tentukan hasil operasi hitung bentuk aljabar berikut!

$a^{10} b^{8} : [- a^{3} b^{5} \times (- a^{7} b^{3})]$

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Klaim

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 a to the power of 10 b to the power of 8 space colon space open square brackets negative a cubed b to the power of 5 cross times open parentheses negative a to the power of 7 b cubed close parentheses close square brackets

a to the power of 10 b to the power of 8 space colon space open square brackets negative a cubed b to the power of 5 cross times open parentheses negative a to the power of 7 b cubed 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.

$table attributes columnalign right center left columnspacing 2px end attributes row blank blank cell a to the power of 10 b to the power of 8 space colon space open square brackets negative a cubed b to the power of 5 cross times open parentheses negative a to the power of 7 b cubed close parentheses close square brackets end cell row blank equals cell a to the power of 10 b to the power of 8 space colon space open square brackets open parentheses negative 1 cross times negative 1 close parentheses open parentheses a cubed cross times a to the power of 7 close parentheses open parentheses b to the power of 5 cross times b cubed close parentheses close square brackets end cell row blank equals cell a to the power of 10 b to the power of 8 space colon space open square brackets open parentheses 1 close parentheses open parentheses a to the power of 10 close parentheses open parentheses b to the power of 8 close parentheses close square brackets end cell row blank equals cell a to the power of 10 b to the power of 8 space colon space a to the power of 10 b to the power of 8 end cell row blank equals cell fraction numerator a to the power of 10 b to the power of 8 over denominator a to the power of 10 b to the power of 8 end fraction end cell row blank equals cell open parentheses a to the power of 10 over a to the power of 10 close parentheses open parentheses b to the power of 8 over b to the power of 8 close parentheses end cell row blank equals cell open parentheses 1 close parentheses open parentheses 1 close parentheses end cell row blank equals 1 end table$

Jadi, diperoleh hasil operasi hitung bentuk aljabar a to the power of 10 b to the power of 8 space colon space open square brackets negative a cubed b to the power of 5 cross times open parentheses negative a to the power of 7 b cubed close parentheses close square brackets adalah .