How do you simplify the following expression with the answer not containing negative exponents?

Question

01-02-2018
Mathematics

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How do you simplify the following expression with the answer not containing negative exponents?

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jdoe0001 jdoe0001 · Answer 1 · 2018-02-01T21:28:45+01:00

[tex]\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}}\\\\ -------------------------------\\\\ \cfrac{16r^8zm^4}{2r^5z^6m^3}\implies \cfrac{16}{2}\cdot \cfrac{r^8r^{-5}m^4m^{-3}}{z^6z^{-1}}\implies \cfrac{8}{1}\cdot \cfrac{r^{8-5}m^{4-3}}{z^{6-1}}\implies \cfrac{8r^3m}{z^5}[/tex]