[tex] \frac{ {a}^{ - 4} + {a}^{2} }{a + {a}^{7} } = \frac{ \frac{1}{ {a}^{4} } + {a}^{2} }{a(1 + {a}^{6} )} = \frac{1 + {a}^{2 + 4} }{ {a}^{4} \times a(1 + {a}^{6} )} = \\ = \frac{1 + {a}^{6} }{ {a}^{5} (1 + {a}^{6}) } = \frac{1}{ {a}^{5} } [/tex]
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[tex] \frac{ {a}^{ - 4} + {a}^{2} }{a + {a}^{7} } = \frac{ \frac{1}{ {a}^{4} } + {a}^{2} }{a(1 + {a}^{6} )} = \frac{1 + {a}^{2 + 4} }{ {a}^{4} \times a(1 + {a}^{6} )} = \\ = \frac{1 + {a}^{6} }{ {a}^{5} (1 + {a}^{6}) } = \frac{1}{ {a}^{5} } [/tex]
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