Simplify. Write the answer as a single term without negative exponents. (7n^-7 - 7m^-7)/(m + n^8)

Simplify. Write the answer as a single term without negative exponents.
$\frac{7{n}^{-}7-7{m}^{-}7}{m+{n}^{8}}$
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Kelsie Marks
$\frac{7{n}^{-}7-7{m}^{-}7}{m+{n}^{8}}$
applying exponent property
${a}^{-m}=\frac{1}{{a}^{m}}\phantom{\rule{0ex}{0ex}}=\frac{\frac{7/{n}^{7}-7}{{m}^{7}}}{m+{n}^{8}}$
on simplifying we get
$\frac{7{m}^{7}-7{n}^{7}}{{n}^{7}{m}^{8}+{n}^{15}{m}^{7}}$