Yair Valentine

2022-08-07

Simplify. Write the answer as a single term without negative exponents.

$\frac{7{n}^{-}7-7{m}^{-}7}{m+{n}^{8}}$

$\frac{7{n}^{-}7-7{m}^{-}7}{m+{n}^{8}}$

Kelsie Marks

Beginner2022-08-08Added 17 answers

$\frac{7{n}^{-}7-7{m}^{-}7}{m+{n}^{8}}$

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

$\frac{7{m}^{7}-7{n}^{7}}{{n}^{7}{m}^{8}+{n}^{15}{m}^{7}}$

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

$\frac{7{m}^{7}-7{n}^{7}}{{n}^{7}{m}^{8}+{n}^{15}{m}^{7}}$

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function

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