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Section 1.1 : Integer Exponents

7. Simplify the following expression and write the answer with only positive exponents.

\[\frac{{{m^{ - 2}}{n^{ - 10}}}}{{{m^{ - 7}}{n^{ - 3}}}}\] Show Solution

There is not really a whole lot to this problem. All we need to do is use the properties from this section to do the simplification.

\[\frac{{{m^{ - 2}}{n^{ - 10}}}}{{{m^{ - 7}}{n^{ - 3}}}} = \frac{{{m^7}{n^3}}}{{{m^2}{n^{10}}}} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{{m^5}}}{{{n^7}}}}}\]