Pertanyaan

Diketahui a  = 0 dan b  = 0 , bentuk sederhana ( a 2 b − 7 a − 1 b − 5 ) − 2 adalah....

Diketahui $a \neq = 0$ dan $b \neq = 0$ , bentuk sederhana $(\frac{a ^{- 1} b ^{- 5}}{a ^{2} b ^{- 7}})^{- 2}$ adalah....

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Habis dalam

Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

$open parentheses fraction numerator a to the power of negative 1 end exponent space b to the power of negative 5 end exponent over denominator a squared space b to the power of negative 7 end exponent end fraction close parentheses equals a to the power of 6 over b to the power of 4$

Pembahasan

Dengan menggunakan sifat-sifat eksponen, maka: Jadi,

Dengan menggunakan sifat-sifat eksponen, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator a to the power of negative 1 end exponent space b to the power of negative 5 end exponent over denominator a squared space b to the power of negative 7 end exponent end fraction close parentheses to the power of negative 2 end exponent end cell equals cell open parentheses a to the power of negative 1 minus 2 end exponent space b to the power of negative 5 plus 7 end exponent close parentheses to the power of negative 2 end exponent end cell row blank equals cell open parentheses a to the power of negative 3 end exponent space b squared close parentheses to the power of negative 2 end exponent end cell row blank equals cell a to the power of negative 3 open parentheses negative 2 close parentheses end exponent space b to the power of 2 open parentheses negative 2 close parentheses end exponent end cell row blank equals cell a to the power of 6 space b to the power of negative 4 end exponent end cell row blank equals cell a to the power of 6 over b to the power of 4 end cell end table$

Jadi, $open parentheses fraction numerator a to the power of negative 1 end exponent space b to the power of negative 5 end exponent over denominator a squared space b to the power of negative 7 end exponent end fraction close parentheses equals a to the power of 6 over b to the power of 4$