(m⁻² + m⁻¹ + m⁰) : (m⁻¹ + m° + m) = …

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(m⁻² + m⁻¹ + m⁰) : (m⁻¹ + m° + m) = …

( m-² + m-¹ + m^0 ) : ( m-¹ + m^0 + m )

= ( m-²-(-¹) + m-¹-(0) + m )

= m-²+¹ + m-¹

= m-¹ + m-¹

Penjelasan dengan langkah-langkah:

(m⁻² + m⁻¹ + m⁰) : (m⁻¹ + m° + m)

= frac{ frac{1}{ {m}^{2} } + frac{1}{m} + 1}{ frac{1}{m} + 1 + m } \ = frac{ frac{1 + m + {m}^{2} }{ {m}^{2} } }{ frac{1 + m + {m}^{2} }{m} } \ = frac{1 + m + {m}^{2}}{1 + m + {m}^{2}} times frac{ m }{ {m}^{2} } \ = frac{m}{ {m}^{2} } \ = frac{1}{m} \ = {m}^{ - 1}