Pertanyaan

Bentuk sederhana dari adalah ....

Bentuk sederhana dari $space open parentheses fraction numerator a to the power of 2 over 3 end exponent b to the power of negative 4 over 3 end exponent over denominator a squared b to the power of negative 2 over 3 end exponent end fraction close parentheses to the power of negative 3 over 2 end exponent space space$ adalah ....

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Pembahasan

$open parentheses fraction numerator a to the power of 2 over 3 end exponent b to the power of negative 4 over 3 end exponent over denominator a squared b to the power of negative 2 over 3 end exponent end fraction close parentheses to the power of negative 3 over 2 end exponent equals open parentheses a to the power of 2 over 3 minus 2 end exponent space b to the power of negative 4 over 3 plus 2 over 3 end exponent close parentheses to the power of negative 3 over 2 end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses a to the power of negative 4 over 3 end exponent space b to the power of negative 2 over 3 end exponent close parentheses to the power of negative 3 over 2 end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space equals a to the power of negative 4 over 3 cross times negative 3 over 2 end exponent space b to the power of negative 2 over 3 cross times negative 3 over 2 end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space equals a squared space b$